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Simplifying 7(z + -2) + 39 = 3(5 + -1z) Reorder the terms: 7(-2 + z) + 39 = 3(5 + -1z) (-2 * 7 + z * 7) + 39 = 3(5 + -1z) (-14 + 7z) + 39 = 3(5 + -1z) Reorder the terms: -14 + 39 + 7z = 3(5 + -1z) Combine like terms: -14 + 39 = 25 25 + 7z = 3(5 + -1z) 25 + 7z = (5 * 3 + -1z * 3) 25 + 7z = (15 + -3z) Solving 25 + 7z = 15 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 25 + 7z + 3z = 15 + -3z + 3z Combine like terms: 7z + 3z = 10z 25 + 10z = 15 + -3z + 3z Combine like terms: -3z + 3z = 0 25 + 10z = 15 + 0 25 + 10z = 15 Add '-25' to each side of the equation. 25 + -25 + 10z = 15 + -25 Combine like terms: 25 + -25 = 0 0 + 10z = 15 + -25 10z = 15 + -25 Combine like terms: 15 + -25 = -10 10z = -10 Divide each side by '10'. z = -1 Simplifying z = -1
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