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Simplifying 45 = -5(6 + -3z) 45 = (6 * -5 + -3z * -5) 45 = (-30 + 15z) Solving 45 = -30 + 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. 45 + -15z = -30 + 15z + -15z Combine like terms: 15z + -15z = 0 45 + -15z = -30 + 0 45 + -15z = -30 Add '-45' to each side of the equation. 45 + -45 + -15z = -30 + -45 Combine like terms: 45 + -45 = 0 0 + -15z = -30 + -45 -15z = -30 + -45 Combine like terms: -30 + -45 = -75 -15z = -75 Divide each side by '-15'. z = 5 Simplifying z = 5
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