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Simplifying 5z + 3(4z + 5) = 4(z + -6) Reorder the terms: 5z + 3(5 + 4z) = 4(z + -6) 5z + (5 * 3 + 4z * 3) = 4(z + -6) 5z + (15 + 12z) = 4(z + -6) Reorder the terms: 15 + 5z + 12z = 4(z + -6) Combine like terms: 5z + 12z = 17z 15 + 17z = 4(z + -6) Reorder the terms: 15 + 17z = 4(-6 + z) 15 + 17z = (-6 * 4 + z * 4) 15 + 17z = (-24 + 4z) Solving 15 + 17z = -24 + 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 + 17z + -4z = -24 + 4z + -4z Combine like terms: 17z + -4z = 13z 15 + 13z = -24 + 4z + -4z Combine like terms: 4z + -4z = 0 15 + 13z = -24 + 0 15 + 13z = -24 Add '-15' to each side of the equation. 15 + -15 + 13z = -24 + -15 Combine like terms: 15 + -15 = 0 0 + 13z = -24 + -15 13z = -24 + -15 Combine like terms: -24 + -15 = -39 13z = -39 Divide each side by '13'. z = -3 Simplifying z = -3
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