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Simplifying 3(2z + -1) + -3(4 + -3z) = 9 Reorder the terms: 3(-1 + 2z) + -3(4 + -3z) = 9 (-1 * 3 + 2z * 3) + -3(4 + -3z) = 9 (-3 + 6z) + -3(4 + -3z) = 9 -3 + 6z + (4 * -3 + -3z * -3) = 9 -3 + 6z + (-12 + 9z) = 9 Reorder the terms: -3 + -12 + 6z + 9z = 9 Combine like terms: -3 + -12 = -15 -15 + 6z + 9z = 9 Combine like terms: 6z + 9z = 15z -15 + 15z = 9 Solving -15 + 15z = 9 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 + 15z = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 15z = 9 + 15 15z = 9 + 15 Combine like terms: 9 + 15 = 24 15z = 24 Divide each side by '15'. z = 1.6 Simplifying z = 1.6
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