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Simplifying -9(z + -2) + -1(3 + -2z) = -8z Reorder the terms: -9(-2 + z) + -1(3 + -2z) = -8z (-2 * -9 + z * -9) + -1(3 + -2z) = -8z (18 + -9z) + -1(3 + -2z) = -8z 18 + -9z + (3 * -1 + -2z * -1) = -8z 18 + -9z + (-3 + 2z) = -8z Reorder the terms: 18 + -3 + -9z + 2z = -8z Combine like terms: 18 + -3 = 15 15 + -9z + 2z = -8z Combine like terms: -9z + 2z = -7z 15 + -7z = -8z Solving 15 + -7z = -8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8z' to each side of the equation. 15 + -7z + 8z = -8z + 8z Combine like terms: -7z + 8z = 1z 15 + 1z = -8z + 8z Combine like terms: -8z + 8z = 0 15 + 1z = 0 Add '-15' to each side of the equation. 15 + -15 + 1z = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 1z = 0 + -15 1z = 0 + -15 Combine like terms: 0 + -15 = -15 1z = -15 Divide each side by '1'. z = -15 Simplifying z = -15
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