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Simplifying -1(-15z + -17) + -1(24z + 7) + -14z + -23z = 23 Reorder the terms: -1(-17 + -15z) + -1(24z + 7) + -14z + -23z = 23 (-17 * -1 + -15z * -1) + -1(24z + 7) + -14z + -23z = 23 (17 + 15z) + -1(24z + 7) + -14z + -23z = 23 Reorder the terms: 17 + 15z + -1(7 + 24z) + -14z + -23z = 23 17 + 15z + (7 * -1 + 24z * -1) + -14z + -23z = 23 17 + 15z + (-7 + -24z) + -14z + -23z = 23 Reorder the terms: 17 + -7 + 15z + -24z + -14z + -23z = 23 Combine like terms: 17 + -7 = 10 10 + 15z + -24z + -14z + -23z = 23 Combine like terms: 15z + -24z = -9z 10 + -9z + -14z + -23z = 23 Combine like terms: -9z + -14z = -23z 10 + -23z + -23z = 23 Combine like terms: -23z + -23z = -46z 10 + -46z = 23 Solving 10 + -46z = 23 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -46z = 23 + -10 Combine like terms: 10 + -10 = 0 0 + -46z = 23 + -10 -46z = 23 + -10 Combine like terms: 23 + -10 = 13 -46z = 13 Divide each side by '-46'. z = -0.2826086957 Simplifying z = -0.2826086957
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