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Simplifying 3(3z + -1) + -3(3 + -2z) = 9 Reorder the terms: 3(-1 + 3z) + -3(3 + -2z) = 9 (-1 * 3 + 3z * 3) + -3(3 + -2z) = 9 (-3 + 9z) + -3(3 + -2z) = 9 -3 + 9z + (3 * -3 + -2z * -3) = 9 -3 + 9z + (-9 + 6z) = 9 Reorder the terms: -3 + -9 + 9z + 6z = 9 Combine like terms: -3 + -9 = -12 -12 + 9z + 6z = 9 Combine like terms: 9z + 6z = 15z -12 + 15z = 9 Solving -12 + 15z = 9 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 15z = 9 + 12 Combine like terms: -12 + 12 = 0 0 + 15z = 9 + 12 15z = 9 + 12 Combine like terms: 9 + 12 = 21 15z = 21 Divide each side by '15'. z = 1.4 Simplifying z = 1.4
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