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Simplifying 8(z + 7) + -1(-2z + -2) = 9 Reorder the terms: 8(7 + z) + -1(-2z + -2) = 9 (7 * 8 + z * 8) + -1(-2z + -2) = 9 (56 + 8z) + -1(-2z + -2) = 9 Reorder the terms: 56 + 8z + -1(-2 + -2z) = 9 56 + 8z + (-2 * -1 + -2z * -1) = 9 56 + 8z + (2 + 2z) = 9 Reorder the terms: 56 + 2 + 8z + 2z = 9 Combine like terms: 56 + 2 = 58 58 + 8z + 2z = 9 Combine like terms: 8z + 2z = 10z 58 + 10z = 9 Solving 58 + 10z = 9 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-58' to each side of the equation. 58 + -58 + 10z = 9 + -58 Combine like terms: 58 + -58 = 0 0 + 10z = 9 + -58 10z = 9 + -58 Combine like terms: 9 + -58 = -49 10z = -49 Divide each side by '10'. z = -4.9 Simplifying z = -4.9
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