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Simplifying 4z + 7 = 9z + -29 Reorder the terms: 7 + 4z = 9z + -29 Reorder the terms: 7 + 4z = -29 + 9z Solving 7 + 4z = -29 + 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 + 4z + -9z = -29 + 9z + -9z Combine like terms: 4z + -9z = -5z 7 + -5z = -29 + 9z + -9z Combine like terms: 9z + -9z = 0 7 + -5z = -29 + 0 7 + -5z = -29 Add '-7' to each side of the equation. 7 + -7 + -5z = -29 + -7 Combine like terms: 7 + -7 = 0 0 + -5z = -29 + -7 -5z = -29 + -7 Combine like terms: -29 + -7 = -36 -5z = -36 Divide each side by '-5'. z = 7.2 Simplifying z = 7.2
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