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Simplifying 3(2z + -3) + -3(2 + -3z) = 6 Reorder the terms: 3(-3 + 2z) + -3(2 + -3z) = 6 (-3 * 3 + 2z * 3) + -3(2 + -3z) = 6 (-9 + 6z) + -3(2 + -3z) = 6 -9 + 6z + (2 * -3 + -3z * -3) = 6 -9 + 6z + (-6 + 9z) = 6 Reorder the terms: -9 + -6 + 6z + 9z = 6 Combine like terms: -9 + -6 = -15 -15 + 6z + 9z = 6 Combine like terms: 6z + 9z = 15z -15 + 15z = 6 Solving -15 + 15z = 6 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 = 6 + 15 Combine like terms: -15 + 15 = 0 0 + 15z = 6 + 15 15z = 6 + 15 Combine like terms: 6 + 15 = 21 15z = 21 Divide each side by '15'. z = 1.4 Simplifying z = 1.4
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