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Simplifying -9(z + 8) = 7 + -8z Reorder the terms: -9(8 + z) = 7 + -8z (8 * -9 + z * -9) = 7 + -8z (-72 + -9z) = 7 + -8z Solving -72 + -9z = 7 + -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. -72 + -9z + 8z = 7 + -8z + 8z Combine like terms: -9z + 8z = -1z -72 + -1z = 7 + -8z + 8z Combine like terms: -8z + 8z = 0 -72 + -1z = 7 + 0 -72 + -1z = 7 Add '72' to each side of the equation. -72 + 72 + -1z = 7 + 72 Combine like terms: -72 + 72 = 0 0 + -1z = 7 + 72 -1z = 7 + 72 Combine like terms: 7 + 72 = 79 -1z = 79 Divide each side by '-1'. z = -79 Simplifying z = -79
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