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Simplify 14 minus nine minus eight π plus three minus 12π minus nine minus four π.
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The nice thing about adding and subtracting complex numbers is essentially weβre only combining like terms.
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So the first thing we need to do is use the distributive property so we have all of the correct signs.
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So we need to be careful with those negative signs because when we distributed them, that would change those signs.
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So we have 14 minus nine plus eight π plus three minus 12π minus nine plus four π.
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So now we can combine like terms.
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And those parentheses disappear because we distributed a negative one, a positive one, and a negative one.
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And we didnβt have to show the distribution of the positive one, because it wouldnβt have done anything.
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So now letβs combine like terms.
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So 14, negative nine, three, and negative nine can be combined.
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And now, the imaginary numbers can be combined.
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Eight π minus 12π plus four π.
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And we get negative one plus zero π, which we can rewrite as just negative one.