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Simplifying 4(z + 15) = 5(z + 2) Reorder the terms: 4(15 + z) = 5(z + 2) (15 * 4 + z * 4) = 5(z + 2) (60 + 4z) = 5(z + 2) Reorder the terms: 60 + 4z = 5(2 + z) 60 + 4z = (2 * 5 + z * 5) 60 + 4z = (10 + 5z) Solving 60 + 4z = 10 + 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. 60 + 4z + -5z = 10 + 5z + -5z Combine like terms: 4z + -5z = -1z 60 + -1z = 10 + 5z + -5z Combine like terms: 5z + -5z = 0 60 + -1z = 10 + 0 60 + -1z = 10 Add '-60' to each side of the equation. 60 + -60 + -1z = 10 + -60 Combine like terms: 60 + -60 = 0 0 + -1z = 10 + -60 -1z = 10 + -60 Combine like terms: 10 + -60 = -50 -1z = -50 Divide each side by '-1'. z = 50 Simplifying z = 50
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