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Simplifying 5(z + 9) + -9(z + -7) = 0 Reorder the terms: 5(9 + z) + -9(z + -7) = 0 (9 * 5 + z * 5) + -9(z + -7) = 0 (45 + 5z) + -9(z + -7) = 0 Reorder the terms: 45 + 5z + -9(-7 + z) = 0 45 + 5z + (-7 * -9 + z * -9) = 0 45 + 5z + (63 + -9z) = 0 Reorder the terms: 45 + 63 + 5z + -9z = 0 Combine like terms: 45 + 63 = 108 108 + 5z + -9z = 0 Combine like terms: 5z + -9z = -4z 108 + -4z = 0 Solving 108 + -4z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-108' to each side of the equation. 108 + -108 + -4z = 0 + -108 Combine like terms: 108 + -108 = 0 0 + -4z = 0 + -108 -4z = 0 + -108 Combine like terms: 0 + -108 = -108 -4z = -108 Divide each side by '-4'. z = 27 Simplifying z = 27
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