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Simplifying 3(3z + -3) + -3(2 + -4z) = 12 Reorder the terms: 3(-3 + 3z) + -3(2 + -4z) = 12 (-3 * 3 + 3z * 3) + -3(2 + -4z) = 12 (-9 + 9z) + -3(2 + -4z) = 12 -9 + 9z + (2 * -3 + -4z * -3) = 12 -9 + 9z + (-6 + 12z) = 12 Reorder the terms: -9 + -6 + 9z + 12z = 12 Combine like terms: -9 + -6 = -15 -15 + 9z + 12z = 12 Combine like terms: 9z + 12z = 21z -15 + 21z = 12 Solving -15 + 21z = 12 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 21z = 12 + 15 Combine like terms: -15 + 15 = 0 0 + 21z = 12 + 15 21z = 12 + 15 Combine like terms: 12 + 15 = 27 21z = 27 Divide each side by '21'. z = 1.285714286 Simplifying z = 1.285714286
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