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Simplifying -9(z + -7) = -8z + -9 Reorder the terms: -9(-7 + z) = -8z + -9 (-7 * -9 + z * -9) = -8z + -9 (63 + -9z) = -8z + -9 Reorder the terms: 63 + -9z = -9 + -8z Solving 63 + -9z = -9 + -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. 63 + -9z + 8z = -9 + -8z + 8z Combine like terms: -9z + 8z = -1z 63 + -1z = -9 + -8z + 8z Combine like terms: -8z + 8z = 0 63 + -1z = -9 + 0 63 + -1z = -9 Add '-63' to each side of the equation. 63 + -63 + -1z = -9 + -63 Combine like terms: 63 + -63 = 0 0 + -1z = -9 + -63 -1z = -9 + -63 Combine like terms: -9 + -63 = -72 -1z = -72 Divide each side by '-1'. z = 72 Simplifying z = 72
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