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Simplifying 3(z + 5) = 5z + 7 Reorder the terms: 3(5 + z) = 5z + 7 (5 * 3 + z * 3) = 5z + 7 (15 + 3z) = 5z + 7 Reorder the terms: 15 + 3z = 7 + 5z Solving 15 + 3z = 7 + 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 = 7 + 5z + -5z Combine like terms: 3z + -5z = -2z 15 + -2z = 7 + 5z + -5z Combine like terms: 5z + -5z = 0 15 + -2z = 7 + 0 15 + -2z = 7 Add '-15' to each side of the equation. 15 + -15 + -2z = 7 + -15 Combine like terms: 15 + -15 = 0 0 + -2z = 7 + -15 -2z = 7 + -15 Combine like terms: 7 + -15 = -8 -2z = -8 Divide each side by '-2'. z = 4 Simplifying z = 4
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