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Simplifying 5(3z + 4) = 12 + -2(z + -4) Reorder the terms: 5(4 + 3z) = 12 + -2(z + -4) (4 * 5 + 3z * 5) = 12 + -2(z + -4) (20 + 15z) = 12 + -2(z + -4) Reorder the terms: 20 + 15z = 12 + -2(-4 + z) 20 + 15z = 12 + (-4 * -2 + z * -2) 20 + 15z = 12 + (8 + -2z) Combine like terms: 12 + 8 = 20 20 + 15z = 20 + -2z Add '-20' to each side of the equation. 20 + -20 + 15z = 20 + -20 + -2z Combine like terms: 20 + -20 = 0 0 + 15z = 20 + -20 + -2z 15z = 20 + -20 + -2z Combine like terms: 20 + -20 = 0 15z = 0 + -2z 15z = -2z Solving 15z = -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 15z + 2z = -2z + 2z Combine like terms: 15z + 2z = 17z 17z = -2z + 2z Combine like terms: -2z + 2z = 0 17z = 0 Divide each side by '17'. z = 0 Simplifying z = 0
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