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Simplifying 9(-1z + 15) + -7 = 7z Reorder the terms: 9(15 + -1z) + -7 = 7z (15 * 9 + -1z * 9) + -7 = 7z (135 + -9z) + -7 = 7z Reorder the terms: 135 + -7 + -9z = 7z Combine like terms: 135 + -7 = 128 128 + -9z = 7z Solving 128 + -9z = 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 128 + -9z + -7z = 7z + -7z Combine like terms: -9z + -7z = -16z 128 + -16z = 7z + -7z Combine like terms: 7z + -7z = 0 128 + -16z = 0 Add '-128' to each side of the equation. 128 + -128 + -16z = 0 + -128 Combine like terms: 128 + -128 = 0 0 + -16z = 0 + -128 -16z = 0 + -128 Combine like terms: 0 + -128 = -128 -16z = -128 Divide each side by '-16'. z = 8 Simplifying z = 8
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