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Simplifying 18 + 18z + 11 = -19 + 14z Reorder the terms: 18 + 11 + 18z = -19 + 14z Combine like terms: 18 + 11 = 29 29 + 18z = -19 + 14z Solving 29 + 18z = -19 + 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. 29 + 18z + -14z = -19 + 14z + -14z Combine like terms: 18z + -14z = 4z 29 + 4z = -19 + 14z + -14z Combine like terms: 14z + -14z = 0 29 + 4z = -19 + 0 29 + 4z = -19 Add '-29' to each side of the equation. 29 + -29 + 4z = -19 + -29 Combine like terms: 29 + -29 = 0 0 + 4z = -19 + -29 4z = -19 + -29 Combine like terms: -19 + -29 = -48 4z = -48 Divide each side by '4'. z = -12 Simplifying z = -12
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