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Simplifying 5(-2z + 1) = -15 Reorder the terms: 5(1 + -2z) = -15 (1 * 5 + -2z * 5) = -15 (5 + -10z) = -15 Solving 5 + -10z = -15 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -10z = -15 + -5 Combine like terms: 5 + -5 = 0 0 + -10z = -15 + -5 -10z = -15 + -5 Combine like terms: -15 + -5 = -20 -10z = -20 Divide each side by '-10'. z = 2 Simplifying z = 2
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