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Simplifying -3(2z + -5) = 2(3x + 5) Reorder the terms: -3(-5 + 2z) = 2(3x + 5) (-5 * -3 + 2z * -3) = 2(3x + 5) (15 + -6z) = 2(3x + 5) Reorder the terms: 15 + -6z = 2(5 + 3x) 15 + -6z = (5 * 2 + 3x * 2) 15 + -6z = (10 + 6x) Solving 15 + -6z = 10 + 6x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -6z = 10 + -15 + 6x Combine like terms: 15 + -15 = 0 0 + -6z = 10 + -15 + 6x -6z = 10 + -15 + 6x Combine like terms: 10 + -15 = -5 -6z = -5 + 6x Divide each side by '-6'. z = 0.8333333333 + -1x Simplifying z = 0.8333333333 + -1x
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