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Simplifying 3(3z + -2) + -3(2 + -2z) = 15 Reorder the terms: 3(-2 + 3z) + -3(2 + -2z) = 15 (-2 * 3 + 3z * 3) + -3(2 + -2z) = 15 (-6 + 9z) + -3(2 + -2z) = 15 -6 + 9z + (2 * -3 + -2z * -3) = 15 -6 + 9z + (-6 + 6z) = 15 Reorder the terms: -6 + -6 + 9z + 6z = 15 Combine like terms: -6 + -6 = -12 -12 + 9z + 6z = 15 Combine like terms: 9z + 6z = 15z -12 + 15z = 15 Solving -12 + 15z = 15 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 = 15 + 12 Combine like terms: -12 + 12 = 0 0 + 15z = 15 + 12 15z = 15 + 12 Combine like terms: 15 + 12 = 27 15z = 27 Divide each side by '15'. z = 1.8 Simplifying z = 1.8
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