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Simplifying -3(z + 2) + 12 = 14 + -1z + 6z Reorder the terms: -3(2 + z) + 12 = 14 + -1z + 6z (2 * -3 + z * -3) + 12 = 14 + -1z + 6z (-6 + -3z) + 12 = 14 + -1z + 6z Reorder the terms: -6 + 12 + -3z = 14 + -1z + 6z Combine like terms: -6 + 12 = 6 6 + -3z = 14 + -1z + 6z Combine like terms: -1z + 6z = 5z 6 + -3z = 14 + 5z Solving 6 + -3z = 14 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 6 + -3z + -5z = 14 + 5z + -5z Combine like terms: -3z + -5z = -8z 6 + -8z = 14 + 5z + -5z Combine like terms: 5z + -5z = 0 6 + -8z = 14 + 0 6 + -8z = 14 Add '-6' to each side of the equation. 6 + -6 + -8z = 14 + -6 Combine like terms: 6 + -6 = 0 0 + -8z = 14 + -6 -8z = 14 + -6 Combine like terms: 14 + -6 = 8 -8z = 8 Divide each side by '-8'. z = -1 Simplifying z = -1
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