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Simplifying -9(-3z + -5) = 4(z + -29) Reorder the terms: -9(-5 + -3z) = 4(z + -29) (-5 * -9 + -3z * -9) = 4(z + -29) (45 + 27z) = 4(z + -29) Reorder the terms: 45 + 27z = 4(-29 + z) 45 + 27z = (-29 * 4 + z * 4) 45 + 27z = (-116 + 4z) Solving 45 + 27z = -116 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 45 + 27z + -4z = -116 + 4z + -4z Combine like terms: 27z + -4z = 23z 45 + 23z = -116 + 4z + -4z Combine like terms: 4z + -4z = 0 45 + 23z = -116 + 0 45 + 23z = -116 Add '-45' to each side of the equation. 45 + -45 + 23z = -116 + -45 Combine like terms: 45 + -45 = 0 0 + 23z = -116 + -45 23z = -116 + -45 Combine like terms: -116 + -45 = -161 23z = -161 Divide each side by '23'. z = -7 Simplifying z = -7
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