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Simplifying -29 = 7 + 9(z + -5) Reorder the terms: -29 = 7 + 9(-5 + z) -29 = 7 + (-5 * 9 + z * 9) -29 = 7 + (-45 + 9z) Combine like terms: 7 + -45 = -38 -29 = -38 + 9z Solving -29 = -38 + 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. -29 + -9z = -38 + 9z + -9z Combine like terms: 9z + -9z = 0 -29 + -9z = -38 + 0 -29 + -9z = -38 Add '29' to each side of the equation. -29 + 29 + -9z = -38 + 29 Combine like terms: -29 + 29 = 0 0 + -9z = -38 + 29 -9z = -38 + 29 Combine like terms: -38 + 29 = -9 -9z = -9 Divide each side by '-9'. z = 1 Simplifying z = 1
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