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Simplifying 3(2z + -1) + -3(2 + -2z) = 12 Reorder the terms: 3(-1 + 2z) + -3(2 + -2z) = 12 (-1 * 3 + 2z * 3) + -3(2 + -2z) = 12 (-3 + 6z) + -3(2 + -2z) = 12 -3 + 6z + (2 * -3 + -2z * -3) = 12 -3 + 6z + (-6 + 6z) = 12 Reorder the terms: -3 + -6 + 6z + 6z = 12 Combine like terms: -3 + -6 = -9 -9 + 6z + 6z = 12 Combine like terms: 6z + 6z = 12z -9 + 12z = 12 Solving -9 + 12z = 12 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 12z = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 12z = 12 + 9 12z = 12 + 9 Combine like terms: 12 + 9 = 21 12z = 21 Divide each side by '12'. z = 1.75 Simplifying z = 1.75
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