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Simplifying 6(z + 2) = 3(z + 1) + -12 Reorder the terms: 6(2 + z) = 3(z + 1) + -12 (2 * 6 + z * 6) = 3(z + 1) + -12 (12 + 6z) = 3(z + 1) + -12 Reorder the terms: 12 + 6z = 3(1 + z) + -12 12 + 6z = (1 * 3 + z * 3) + -12 12 + 6z = (3 + 3z) + -12 Reorder the terms: 12 + 6z = 3 + -12 + 3z Combine like terms: 3 + -12 = -9 12 + 6z = -9 + 3z Solving 12 + 6z = -9 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 12 + 6z + -3z = -9 + 3z + -3z Combine like terms: 6z + -3z = 3z 12 + 3z = -9 + 3z + -3z Combine like terms: 3z + -3z = 0 12 + 3z = -9 + 0 12 + 3z = -9 Add '-12' to each side of the equation. 12 + -12 + 3z = -9 + -12 Combine like terms: 12 + -12 = 0 0 + 3z = -9 + -12 3z = -9 + -12 Combine like terms: -9 + -12 = -21 3z = -21 Divide each side by '3'. z = -7 Simplifying z = -7
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