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Simplifying 3(4z + -3) + -3(2 + -2z) = 6 Reorder the terms: 3(-3 + 4z) + -3(2 + -2z) = 6 (-3 * 3 + 4z * 3) + -3(2 + -2z) = 6 (-9 + 12z) + -3(2 + -2z) = 6 -9 + 12z + (2 * -3 + -2z * -3) = 6 -9 + 12z + (-6 + 6z) = 6 Reorder the terms: -9 + -6 + 12z + 6z = 6 Combine like terms: -9 + -6 = -15 -15 + 12z + 6z = 6 Combine like terms: 12z + 6z = 18z -15 + 18z = 6 Solving -15 + 18z = 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 + 18z = 6 + 15 Combine like terms: -15 + 15 = 0 0 + 18z = 6 + 15 18z = 6 + 15 Combine like terms: 6 + 15 = 21 18z = 21 Divide each side by '18'. z = 1.166666667 Simplifying z = 1.166666667
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