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Simplifying 82 + -7 = 22 + -7 + -15z Combine like terms: 82 + -7 = 75 75 = 22 + -7 + -15z Combine like terms: 22 + -7 = 15 75 = 15 + -15z Solving 75 = 15 + -15z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '15z' to each side of the equation. 75 + 15z = 15 + -15z + 15z Combine like terms: -15z + 15z = 0 75 + 15z = 15 + 0 75 + 15z = 15 Add '-75' to each side of the equation. 75 + -75 + 15z = 15 + -75 Combine like terms: 75 + -75 = 0 0 + 15z = 15 + -75 15z = 15 + -75 Combine like terms: 15 + -75 = -60 15z = -60 Divide each side by '15'. z = -4 Simplifying z = -4
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