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Simplifying -9(z + -4) = 8 + -8z Reorder the terms: -9(-4 + z) = 8 + -8z (-4 * -9 + z * -9) = 8 + -8z (36 + -9z) = 8 + -8z Solving 36 + -9z = 8 + -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. 36 + -9z + 8z = 8 + -8z + 8z Combine like terms: -9z + 8z = -1z 36 + -1z = 8 + -8z + 8z Combine like terms: -8z + 8z = 0 36 + -1z = 8 + 0 36 + -1z = 8 Add '-36' to each side of the equation. 36 + -36 + -1z = 8 + -36 Combine like terms: 36 + -36 = 0 0 + -1z = 8 + -36 -1z = 8 + -36 Combine like terms: 8 + -36 = -28 -1z = -28 Divide each side by '-1'. z = 28 Simplifying z = 28
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