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Simplifying 3(z + 5) = 40 + -2z Reorder the terms: 3(5 + z) = 40 + -2z (5 * 3 + z * 3) = 40 + -2z (15 + 3z) = 40 + -2z Solving 15 + 3z = 40 + -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. 15 + 3z + 2z = 40 + -2z + 2z Combine like terms: 3z + 2z = 5z 15 + 5z = 40 + -2z + 2z Combine like terms: -2z + 2z = 0 15 + 5z = 40 + 0 15 + 5z = 40 Add '-15' to each side of the equation. 15 + -15 + 5z = 40 + -15 Combine like terms: 15 + -15 = 0 0 + 5z = 40 + -15 5z = 40 + -15 Combine like terms: 40 + -15 = 25 5z = 25 Divide each side by '5'. z = 5 Simplifying z = 5
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