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Simplifying 3(2z + -1) + -3(5 + -2z) = 9 Reorder the terms: 3(-1 + 2z) + -3(5 + -2z) = 9 (-1 * 3 + 2z * 3) + -3(5 + -2z) = 9 (-3 + 6z) + -3(5 + -2z) = 9 -3 + 6z + (5 * -3 + -2z * -3) = 9 -3 + 6z + (-15 + 6z) = 9 Reorder the terms: -3 + -15 + 6z + 6z = 9 Combine like terms: -3 + -15 = -18 -18 + 6z + 6z = 9 Combine like terms: 6z + 6z = 12z -18 + 12z = 9 Solving -18 + 12z = 9 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 12z = 9 + 18 Combine like terms: -18 + 18 = 0 0 + 12z = 9 + 18 12z = 9 + 18 Combine like terms: 9 + 18 = 27 12z = 27 Divide each side by '12'. z = 2.25 Simplifying z = 2.25
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