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Simplifying 3(z + 5) = 5(7 + -1z) Reorder the terms: 3(5 + z) = 5(7 + -1z) (5 * 3 + z * 3) = 5(7 + -1z) (15 + 3z) = 5(7 + -1z) 15 + 3z = (7 * 5 + -1z * 5) 15 + 3z = (35 + -5z) Solving 15 + 3z = 35 + -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. 15 + 3z + 5z = 35 + -5z + 5z Combine like terms: 3z + 5z = 8z 15 + 8z = 35 + -5z + 5z Combine like terms: -5z + 5z = 0 15 + 8z = 35 + 0 15 + 8z = 35 Add '-15' to each side of the equation. 15 + -15 + 8z = 35 + -15 Combine like terms: 15 + -15 = 0 0 + 8z = 35 + -15 8z = 35 + -15 Combine like terms: 35 + -15 = 20 8z = 20 Divide each side by '8'. z = 2.5 Simplifying z = 2.5
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