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Simplifying 3(2z + -2) + -3(3 + -5z) = 9 Reorder the terms: 3(-2 + 2z) + -3(3 + -5z) = 9 (-2 * 3 + 2z * 3) + -3(3 + -5z) = 9 (-6 + 6z) + -3(3 + -5z) = 9 -6 + 6z + (3 * -3 + -5z * -3) = 9 -6 + 6z + (-9 + 15z) = 9 Reorder the terms: -6 + -9 + 6z + 15z = 9 Combine like terms: -6 + -9 = -15 -15 + 6z + 15z = 9 Combine like terms: 6z + 15z = 21z -15 + 21z = 9 Solving -15 + 21z = 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 + 21z = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 21z = 9 + 15 21z = 9 + 15 Combine like terms: 9 + 15 = 24 21z = 24 Divide each side by '21'. z = 1.142857143 Simplifying z = 1.142857143
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