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Simplifying 8(z + 7) + -1(-2z + -2) = 9z Reorder the terms: 8(7 + z) + -1(-2z + -2) = 9z (7 * 8 + z * 8) + -1(-2z + -2) = 9z (56 + 8z) + -1(-2z + -2) = 9z Reorder the terms: 56 + 8z + -1(-2 + -2z) = 9z 56 + 8z + (-2 * -1 + -2z * -1) = 9z 56 + 8z + (2 + 2z) = 9z Reorder the terms: 56 + 2 + 8z + 2z = 9z Combine like terms: 56 + 2 = 58 58 + 8z + 2z = 9z Combine like terms: 8z + 2z = 10z 58 + 10z = 9z Solving 58 + 10z = 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 58 + 10z + -9z = 9z + -9z Combine like terms: 10z + -9z = 1z 58 + 1z = 9z + -9z Combine like terms: 9z + -9z = 0 58 + 1z = 0 Add '-58' to each side of the equation. 58 + -58 + 1z = 0 + -58 Combine like terms: 58 + -58 = 0 0 + 1z = 0 + -58 1z = 0 + -58 Combine like terms: 0 + -58 = -58 1z = -58 Divide each side by '1'. z = -58 Simplifying z = -58
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