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Simplifying 3(4z + -2) + -3(3 + -3z) = 12 Reorder the terms: 3(-2 + 4z) + -3(3 + -3z) = 12 (-2 * 3 + 4z * 3) + -3(3 + -3z) = 12 (-6 + 12z) + -3(3 + -3z) = 12 -6 + 12z + (3 * -3 + -3z * -3) = 12 -6 + 12z + (-9 + 9z) = 12 Reorder the terms: -6 + -9 + 12z + 9z = 12 Combine like terms: -6 + -9 = -15 -15 + 12z + 9z = 12 Combine like terms: 12z + 9z = 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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