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Simplifying 3(5z + -3) + -3(2 + -2z) = 9 Reorder the terms: 3(-3 + 5z) + -3(2 + -2z) = 9 (-3 * 3 + 5z * 3) + -3(2 + -2z) = 9 (-9 + 15z) + -3(2 + -2z) = 9 -9 + 15z + (2 * -3 + -2z * -3) = 9 -9 + 15z + (-6 + 6z) = 9 Reorder the terms: -9 + -6 + 15z + 6z = 9 Combine like terms: -9 + -6 = -15 -15 + 15z + 6z = 9 Combine like terms: 15z + 6z = 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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