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Simplifying 2 + -3z = 7(8 + -2z) + 12 2 + -3z = (8 * 7 + -2z * 7) + 12 2 + -3z = (56 + -14z) + 12 Reorder the terms: 2 + -3z = 56 + 12 + -14z Combine like terms: 56 + 12 = 68 2 + -3z = 68 + -14z Solving 2 + -3z = 68 + -14z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '14z' to each side of the equation. 2 + -3z + 14z = 68 + -14z + 14z Combine like terms: -3z + 14z = 11z 2 + 11z = 68 + -14z + 14z Combine like terms: -14z + 14z = 0 2 + 11z = 68 + 0 2 + 11z = 68 Add '-2' to each side of the equation. 2 + -2 + 11z = 68 + -2 Combine like terms: 2 + -2 = 0 0 + 11z = 68 + -2 11z = 68 + -2 Combine like terms: 68 + -2 = 66 11z = 66 Divide each side by '11'. z = 6 Simplifying z = 6
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