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Simplifying (2 + -7i) + -1(4 + -9i) = -2 + 2i Remove parenthesis around (2 + -7i) 2 + -7i + -1(4 + -9i) = -2 + 2i 2 + -7i + (4 * -1 + -9i * -1) = -2 + 2i 2 + -7i + (-4 + 9i) = -2 + 2i Reorder the terms: 2 + -4 + -7i + 9i = -2 + 2i Combine like terms: 2 + -4 = -2 -2 + -7i + 9i = -2 + 2i Combine like terms: -7i + 9i = 2i -2 + 2i = -2 + 2i Add '2' to each side of the equation. -2 + 2 + 2i = -2 + 2 + 2i Combine like terms: -2 + 2 = 0 0 + 2i = -2 + 2 + 2i 2i = -2 + 2 + 2i Combine like terms: -2 + 2 = 0 2i = 0 + 2i 2i = 2i Add '-2i' to each side of the equation. 2i + -2i = 2i + -2i Combine like terms: 2i + -2i = 0 0 = 2i + -2i Combine like terms: 2i + -2i = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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