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Simplifying 50(2 + -0.5c) + -70 = 20 + -5c (2 * 50 + -0.5c * 50) + -70 = 20 + -5c (100 + -25c) + -70 = 20 + -5c Reorder the terms: 100 + -70 + -25c = 20 + -5c Combine like terms: 100 + -70 = 30 30 + -25c = 20 + -5c Solving 30 + -25c = 20 + -5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '5c' to each side of the equation. 30 + -25c + 5c = 20 + -5c + 5c Combine like terms: -25c + 5c = -20c 30 + -20c = 20 + -5c + 5c Combine like terms: -5c + 5c = 0 30 + -20c = 20 + 0 30 + -20c = 20 Add '-30' to each side of the equation. 30 + -30 + -20c = 20 + -30 Combine like terms: 30 + -30 = 0 0 + -20c = 20 + -30 -20c = 20 + -30 Combine like terms: 20 + -30 = -10 -20c = -10 Divide each side by '-20'. c = 0.5 Simplifying c = 0.5
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