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Simplifying 3(3z + -1) + -3(3 + -2Z) = 12 Reorder the terms: 3(-1 + 3z) + -3(3 + -2Z) = 12 (-1 * 3 + 3z * 3) + -3(3 + -2Z) = 12 (-3 + 9z) + -3(3 + -2Z) = 12 -3 + 9z + (3 * -3 + -2Z * -3) = 12 -3 + 9z + (-9 + 6Z) = 12 Reorder the terms: -3 + -9 + 6Z + 9z = 12 Combine like terms: -3 + -9 = -12 -12 + 6Z + 9z = 12 Solving -12 + 6Z + 9z = 12 Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 6Z + 12 + 9z = 12 + 12 Reorder the terms: -12 + 12 + 6Z + 9z = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 6Z + 9z = 12 + 12 6Z + 9z = 12 + 12 Combine like terms: 12 + 12 = 24 6Z + 9z = 24 Add '-9z' to each side of the equation. 6Z + 9z + -9z = 24 + -9z Combine like terms: 9z + -9z = 0 6Z + 0 = 24 + -9z 6Z = 24 + -9z Divide each side by '6'. Z = 4 + -1.5z Simplifying Z = 4 + -1.5z
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