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Simplifying 5 + -9(8z + -2) = 6(-8z + 6) + -5 Reorder the terms: 5 + -9(-2 + 8z) = 6(-8z + 6) + -5 5 + (-2 * -9 + 8z * -9) = 6(-8z + 6) + -5 5 + (18 + -72z) = 6(-8z + 6) + -5 Combine like terms: 5 + 18 = 23 23 + -72z = 6(-8z + 6) + -5 Reorder the terms: 23 + -72z = 6(6 + -8z) + -5 23 + -72z = (6 * 6 + -8z * 6) + -5 23 + -72z = (36 + -48z) + -5 Reorder the terms: 23 + -72z = 36 + -5 + -48z Combine like terms: 36 + -5 = 31 23 + -72z = 31 + -48z Solving 23 + -72z = 31 + -48z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '48z' to each side of the equation. 23 + -72z + 48z = 31 + -48z + 48z Combine like terms: -72z + 48z = -24z 23 + -24z = 31 + -48z + 48z Combine like terms: -48z + 48z = 0 23 + -24z = 31 + 0 23 + -24z = 31 Add '-23' to each side of the equation. 23 + -23 + -24z = 31 + -23 Combine like terms: 23 + -23 = 0 0 + -24z = 31 + -23 -24z = 31 + -23 Combine like terms: 31 + -23 = 8 -24z = 8 Divide each side by '-24'. z = -0.3333333333 Simplifying z = -0.3333333333
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