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Simplifying 2(z + -1) + -3(z + -2) = 12 Reorder the terms: 2(-1 + z) + -3(z + -2) = 12 (-1 * 2 + z * 2) + -3(z + -2) = 12 (-2 + 2z) + -3(z + -2) = 12 Reorder the terms: -2 + 2z + -3(-2 + z) = 12 -2 + 2z + (-2 * -3 + z * -3) = 12 -2 + 2z + (6 + -3z) = 12 Reorder the terms: -2 + 6 + 2z + -3z = 12 Combine like terms: -2 + 6 = 4 4 + 2z + -3z = 12 Combine like terms: 2z + -3z = -1z 4 + -1z = 12 Solving 4 + -1z = 12 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1z = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -1z = 12 + -4 -1z = 12 + -4 Combine like terms: 12 + -4 = 8 -1z = 8 Divide each side by '-1'. z = -8 Simplifying z = -8
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