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Simplifying -5z + 36 = 3(4z + -5) Reorder the terms: 36 + -5z = 3(4z + -5) Reorder the terms: 36 + -5z = 3(-5 + 4z) 36 + -5z = (-5 * 3 + 4z * 3) 36 + -5z = (-15 + 12z) Solving 36 + -5z = -15 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. 36 + -5z + -12z = -15 + 12z + -12z Combine like terms: -5z + -12z = -17z 36 + -17z = -15 + 12z + -12z Combine like terms: 12z + -12z = 0 36 + -17z = -15 + 0 36 + -17z = -15 Add '-36' to each side of the equation. 36 + -36 + -17z = -15 + -36 Combine like terms: 36 + -36 = 0 0 + -17z = -15 + -36 -17z = -15 + -36 Combine like terms: -15 + -36 = -51 -17z = -51 Divide each side by '-17'. z = 3 Simplifying z = 3
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