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Simplifying 12z + 18 = -2z + 32 Reorder the terms: 18 + 12z = -2z + 32 Reorder the terms: 18 + 12z = 32 + -2z Solving 18 + 12z = 32 + -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. 18 + 12z + 2z = 32 + -2z + 2z Combine like terms: 12z + 2z = 14z 18 + 14z = 32 + -2z + 2z Combine like terms: -2z + 2z = 0 18 + 14z = 32 + 0 18 + 14z = 32 Add '-18' to each side of the equation. 18 + -18 + 14z = 32 + -18 Combine like terms: 18 + -18 = 0 0 + 14z = 32 + -18 14z = 32 + -18 Combine like terms: 32 + -18 = 14 14z = 14 Divide each side by '14'. z = 1 Simplifying z = 1
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