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Simplifying 3(2z + -2) + -3(4 + -3z) = 6 Reorder the terms: 3(-2 + 2z) + -3(4 + -3z) = 6 (-2 * 3 + 2z * 3) + -3(4 + -3z) = 6 (-6 + 6z) + -3(4 + -3z) = 6 -6 + 6z + (4 * -3 + -3z * -3) = 6 -6 + 6z + (-12 + 9z) = 6 Reorder the terms: -6 + -12 + 6z + 9z = 6 Combine like terms: -6 + -12 = -18 -18 + 6z + 9z = 6 Combine like terms: 6z + 9z = 15z -18 + 15z = 6 Solving -18 + 15z = 6 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 15z = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 15z = 6 + 18 15z = 6 + 18 Combine like terms: 6 + 18 = 24 15z = 24 Divide each side by '15'. z = 1.6 Simplifying z = 1.6
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