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Simplifying -3(2z + -5) = 2(3z + 5) Reorder the terms: -3(-5 + 2z) = 2(3z + 5) (-5 * -3 + 2z * -3) = 2(3z + 5) (15 + -6z) = 2(3z + 5) Reorder the terms: 15 + -6z = 2(5 + 3z) 15 + -6z = (5 * 2 + 3z * 2) 15 + -6z = (10 + 6z) Solving 15 + -6z = 10 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 15 + -6z + -6z = 10 + 6z + -6z Combine like terms: -6z + -6z = -12z 15 + -12z = 10 + 6z + -6z Combine like terms: 6z + -6z = 0 15 + -12z = 10 + 0 15 + -12z = 10 Add '-15' to each side of the equation. 15 + -15 + -12z = 10 + -15 Combine like terms: 15 + -15 = 0 0 + -12z = 10 + -15 -12z = 10 + -15 Combine like terms: 10 + -15 = -5 -12z = -5 Divide each side by '-12'. z = 0.4166666667 Simplifying z = 0.4166666667
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