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Simplifying -12z + 14 = 8z + -46 Reorder the terms: 14 + -12z = 8z + -46 Reorder the terms: 14 + -12z = -46 + 8z Solving 14 + -12z = -46 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 14 + -12z + -8z = -46 + 8z + -8z Combine like terms: -12z + -8z = -20z 14 + -20z = -46 + 8z + -8z Combine like terms: 8z + -8z = 0 14 + -20z = -46 + 0 14 + -20z = -46 Add '-14' to each side of the equation. 14 + -14 + -20z = -46 + -14 Combine like terms: 14 + -14 = 0 0 + -20z = -46 + -14 -20z = -46 + -14 Combine like terms: -46 + -14 = -60 -20z = -60 Divide each side by '-20'. z = 3 Simplifying z = 3
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