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Simplifying -6(-3z + -9) = 3(-4 + -5z) Reorder the terms: -6(-9 + -3z) = 3(-4 + -5z) (-9 * -6 + -3z * -6) = 3(-4 + -5z) (54 + 18z) = 3(-4 + -5z) 54 + 18z = (-4 * 3 + -5z * 3) 54 + 18z = (-12 + -15z) Solving 54 + 18z = -12 + -15z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '15z' to each side of the equation. 54 + 18z + 15z = -12 + -15z + 15z Combine like terms: 18z + 15z = 33z 54 + 33z = -12 + -15z + 15z Combine like terms: -15z + 15z = 0 54 + 33z = -12 + 0 54 + 33z = -12 Add '-54' to each side of the equation. 54 + -54 + 33z = -12 + -54 Combine like terms: 54 + -54 = 0 0 + 33z = -12 + -54 33z = -12 + -54 Combine like terms: -12 + -54 = -66 33z = -66 Divide each side by '33'. z = -2 Simplifying z = -2
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