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Simplifying 7 + -6z = 52 + 9z Solving 7 + -6z = 52 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 7 + -6z + -9z = 52 + 9z + -9z Combine like terms: -6z + -9z = -15z 7 + -15z = 52 + 9z + -9z Combine like terms: 9z + -9z = 0 7 + -15z = 52 + 0 7 + -15z = 52 Add '-7' to each side of the equation. 7 + -7 + -15z = 52 + -7 Combine like terms: 7 + -7 = 0 0 + -15z = 52 + -7 -15z = 52 + -7 Combine like terms: 52 + -7 = 45 -15z = 45 Divide each side by '-15'. z = -3 Simplifying z = -3
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