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Simplifying -7(z + -9) + -1(8z + -6) = -16z Reorder the terms: -7(-9 + z) + -1(8z + -6) = -16z (-9 * -7 + z * -7) + -1(8z + -6) = -16z (63 + -7z) + -1(8z + -6) = -16z Reorder the terms: 63 + -7z + -1(-6 + 8z) = -16z 63 + -7z + (-6 * -1 + 8z * -1) = -16z 63 + -7z + (6 + -8z) = -16z Reorder the terms: 63 + 6 + -7z + -8z = -16z Combine like terms: 63 + 6 = 69 69 + -7z + -8z = -16z Combine like terms: -7z + -8z = -15z 69 + -15z = -16z Solving 69 + -15z = -16z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '16z' to each side of the equation. 69 + -15z + 16z = -16z + 16z Combine like terms: -15z + 16z = 1z 69 + 1z = -16z + 16z Combine like terms: -16z + 16z = 0 69 + 1z = 0 Add '-69' to each side of the equation. 69 + -69 + 1z = 0 + -69 Combine like terms: 69 + -69 = 0 0 + 1z = 0 + -69 1z = 0 + -69 Combine like terms: 0 + -69 = -69 1z = -69 Divide each side by '1'. z = -69 Simplifying z = -69
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