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Simplifying -5(z + -3) + -1(9z + -1) = -15z Reorder the terms: -5(-3 + z) + -1(9z + -1) = -15z (-3 * -5 + z * -5) + -1(9z + -1) = -15z (15 + -5z) + -1(9z + -1) = -15z Reorder the terms: 15 + -5z + -1(-1 + 9z) = -15z 15 + -5z + (-1 * -1 + 9z * -1) = -15z 15 + -5z + (1 + -9z) = -15z Reorder the terms: 15 + 1 + -5z + -9z = -15z Combine like terms: 15 + 1 = 16 16 + -5z + -9z = -15z Combine like terms: -5z + -9z = -14z 16 + -14z = -15z Solving 16 + -14z = -15z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '15z' to each side of the equation. 16 + -14z + 15z = -15z + 15z Combine like terms: -14z + 15z = 1z 16 + 1z = -15z + 15z Combine like terms: -15z + 15z = 0 16 + 1z = 0 Add '-16' to each side of the equation. 16 + -16 + 1z = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 1z = 0 + -16 1z = 0 + -16 Combine like terms: 0 + -16 = -16 1z = -16 Divide each side by '1'. z = -16 Simplifying z = -16
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