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Simplifying 3 + -7z = 12z + -2(7z + -9) Reorder the terms: 3 + -7z = 12z + -2(-9 + 7z) 3 + -7z = 12z + (-9 * -2 + 7z * -2) 3 + -7z = 12z + (18 + -14z) Reorder the terms: 3 + -7z = 18 + 12z + -14z Combine like terms: 12z + -14z = -2z 3 + -7z = 18 + -2z Solving 3 + -7z = 18 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 3 + -7z + 2z = 18 + -2z + 2z Combine like terms: -7z + 2z = -5z 3 + -5z = 18 + -2z + 2z Combine like terms: -2z + 2z = 0 3 + -5z = 18 + 0 3 + -5z = 18 Add '-3' to each side of the equation. 3 + -3 + -5z = 18 + -3 Combine like terms: 3 + -3 = 0 0 + -5z = 18 + -3 -5z = 18 + -3 Combine like terms: 18 + -3 = 15 -5z = 15 Divide each side by '-5'. z = -3 Simplifying z = -3
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