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Simplifying -3(3z + -9) = -5(z + 5) Reorder the terms: -3(-9 + 3z) = -5(z + 5) (-9 * -3 + 3z * -3) = -5(z + 5) (27 + -9z) = -5(z + 5) Reorder the terms: 27 + -9z = -5(5 + z) 27 + -9z = (5 * -5 + z * -5) 27 + -9z = (-25 + -5z) Solving 27 + -9z = -25 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. 27 + -9z + 5z = -25 + -5z + 5z Combine like terms: -9z + 5z = -4z 27 + -4z = -25 + -5z + 5z Combine like terms: -5z + 5z = 0 27 + -4z = -25 + 0 27 + -4z = -25 Add '-27' to each side of the equation. 27 + -27 + -4z = -25 + -27 Combine like terms: 27 + -27 = 0 0 + -4z = -25 + -27 -4z = -25 + -27 Combine like terms: -25 + -27 = -52 -4z = -52 Divide each side by '-4'. z = 13 Simplifying z = 13
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