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Simplifying -3(2z + -5) = 4z + -15 Reorder the terms: -3(-5 + 2z) = 4z + -15 (-5 * -3 + 2z * -3) = 4z + -15 (15 + -6z) = 4z + -15 Reorder the terms: 15 + -6z = -15 + 4z Solving 15 + -6z = -15 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 15 + -6z + -4z = -15 + 4z + -4z Combine like terms: -6z + -4z = -10z 15 + -10z = -15 + 4z + -4z Combine like terms: 4z + -4z = 0 15 + -10z = -15 + 0 15 + -10z = -15 Add '-15' to each side of the equation. 15 + -15 + -10z = -15 + -15 Combine like terms: 15 + -15 = 0 0 + -10z = -15 + -15 -10z = -15 + -15 Combine like terms: -15 + -15 = -30 -10z = -30 Divide each side by '-10'. z = 3 Simplifying z = 3
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