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Simplifying (15z + -20) = (14z + 4) Reorder the terms: (-20 + 15z) = (14z + 4) Remove parenthesis around (-20 + 15z) -20 + 15z = (14z + 4) Reorder the terms: -20 + 15z = (4 + 14z) Remove parenthesis around (4 + 14z) -20 + 15z = 4 + 14z Solving -20 + 15z = 4 + 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. -20 + 15z + -14z = 4 + 14z + -14z Combine like terms: 15z + -14z = 1z -20 + 1z = 4 + 14z + -14z Combine like terms: 14z + -14z = 0 -20 + 1z = 4 + 0 -20 + 1z = 4 Add '20' to each side of the equation. -20 + 20 + 1z = 4 + 20 Combine like terms: -20 + 20 = 0 0 + 1z = 4 + 20 1z = 4 + 20 Combine like terms: 4 + 20 = 24 1z = 24 Divide each side by '1'. z = 24 Simplifying z = 24
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