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Simplifying 8(c + 10) = 5(c + 1) Reorder the terms: 8(10 + c) = 5(c + 1) (10 * 8 + c * 8) = 5(c + 1) (80 + 8c) = 5(c + 1) Reorder the terms: 80 + 8c = 5(1 + c) 80 + 8c = (1 * 5 + c * 5) 80 + 8c = (5 + 5c) Solving 80 + 8c = 5 + 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. 80 + 8c + -5c = 5 + 5c + -5c Combine like terms: 8c + -5c = 3c 80 + 3c = 5 + 5c + -5c Combine like terms: 5c + -5c = 0 80 + 3c = 5 + 0 80 + 3c = 5 Add '-80' to each side of the equation. 80 + -80 + 3c = 5 + -80 Combine like terms: 80 + -80 = 0 0 + 3c = 5 + -80 3c = 5 + -80 Combine like terms: 5 + -80 = -75 3c = -75 Divide each side by '3'. c = -25 Simplifying c = -25
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