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Simplifying 3(2z + 5) = 4(z + -1) Reorder the terms: 3(5 + 2z) = 4(z + -1) (5 * 3 + 2z * 3) = 4(z + -1) (15 + 6z) = 4(z + -1) Reorder the terms: 15 + 6z = 4(-1 + z) 15 + 6z = (-1 * 4 + z * 4) 15 + 6z = (-4 + 4z) Solving 15 + 6z = -4 + 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 = -4 + 4z + -4z Combine like terms: 6z + -4z = 2z 15 + 2z = -4 + 4z + -4z Combine like terms: 4z + -4z = 0 15 + 2z = -4 + 0 15 + 2z = -4 Add '-15' to each side of the equation. 15 + -15 + 2z = -4 + -15 Combine like terms: 15 + -15 = 0 0 + 2z = -4 + -15 2z = -4 + -15 Combine like terms: -4 + -15 = -19 2z = -19 Divide each side by '2'. z = -9.5 Simplifying z = -9.5
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