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Simplifying 3(2z + -1) + -3(3 + -2z) = 0 Reorder the terms: 3(-1 + 2z) + -3(3 + -2z) = 0 (-1 * 3 + 2z * 3) + -3(3 + -2z) = 0 (-3 + 6z) + -3(3 + -2z) = 0 -3 + 6z + (3 * -3 + -2z * -3) = 0 -3 + 6z + (-9 + 6z) = 0 Reorder the terms: -3 + -9 + 6z + 6z = 0 Combine like terms: -3 + -9 = -12 -12 + 6z + 6z = 0 Combine like terms: 6z + 6z = 12z -12 + 12z = 0 Solving -12 + 12z = 0 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 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 12z = 0 + 12 12z = 0 + 12 Combine like terms: 0 + 12 = 12 12z = 12 Divide each side by '12'. z = 1 Simplifying z = 1
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