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Simplifying 3(-5z + 3) = 5z + 6 Reorder the terms: 3(3 + -5z) = 5z + 6 (3 * 3 + -5z * 3) = 5z + 6 (9 + -15z) = 5z + 6 Reorder the terms: 9 + -15z = 6 + 5z Solving 9 + -15z = 6 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 9 + -15z + -5z = 6 + 5z + -5z Combine like terms: -15z + -5z = -20z 9 + -20z = 6 + 5z + -5z Combine like terms: 5z + -5z = 0 9 + -20z = 6 + 0 9 + -20z = 6 Add '-9' to each side of the equation. 9 + -9 + -20z = 6 + -9 Combine like terms: 9 + -9 = 0 0 + -20z = 6 + -9 -20z = 6 + -9 Combine like terms: 6 + -9 = -3 -20z = -3 Divide each side by '-20'. z = 0.15 Simplifying z = 0.15
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