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Simplifying 4(3 + -1z) = 5(z + 4) (3 * 4 + -1z * 4) = 5(z + 4) (12 + -4z) = 5(z + 4) Reorder the terms: 12 + -4z = 5(4 + z) 12 + -4z = (4 * 5 + z * 5) 12 + -4z = (20 + 5z) Solving 12 + -4z = 20 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 12 + -4z + -5z = 20 + 5z + -5z Combine like terms: -4z + -5z = -9z 12 + -9z = 20 + 5z + -5z Combine like terms: 5z + -5z = 0 12 + -9z = 20 + 0 12 + -9z = 20 Add '-12' to each side of the equation. 12 + -12 + -9z = 20 + -12 Combine like terms: 12 + -12 = 0 0 + -9z = 20 + -12 -9z = 20 + -12 Combine like terms: 20 + -12 = 8 -9z = 8 Divide each side by '-9'. z = -0.8888888889 Simplifying z = -0.8888888889
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