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Simplifying 3(2z + -2) + -3(2 + -2z) = 3 Reorder the terms: 3(-2 + 2z) + -3(2 + -2z) = 3 (-2 * 3 + 2z * 3) + -3(2 + -2z) = 3 (-6 + 6z) + -3(2 + -2z) = 3 -6 + 6z + (2 * -3 + -2z * -3) = 3 -6 + 6z + (-6 + 6z) = 3 Reorder the terms: -6 + -6 + 6z + 6z = 3 Combine like terms: -6 + -6 = -12 -12 + 6z + 6z = 3 Combine like terms: 6z + 6z = 12z -12 + 12z = 3 Solving -12 + 12z = 3 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 + 12z = 3 + 12 Combine like terms: -12 + 12 = 0 0 + 12z = 3 + 12 12z = 3 + 12 Combine like terms: 3 + 12 = 15 12z = 15 Divide each side by '12'. z = 1.25 Simplifying z = 1.25
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