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Simplifying 0.75(24 + -8c) = 2(5c + 1) (24 * 0.75 + -8c * 0.75) = 2(5c + 1) (18 + -6c) = 2(5c + 1) Reorder the terms: 18 + -6c = 2(1 + 5c) 18 + -6c = (1 * 2 + 5c * 2) 18 + -6c = (2 + 10c) Solving 18 + -6c = 2 + 10c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10c' to each side of the equation. 18 + -6c + -10c = 2 + 10c + -10c Combine like terms: -6c + -10c = -16c 18 + -16c = 2 + 10c + -10c Combine like terms: 10c + -10c = 0 18 + -16c = 2 + 0 18 + -16c = 2 Add '-18' to each side of the equation. 18 + -18 + -16c = 2 + -18 Combine like terms: 18 + -18 = 0 0 + -16c = 2 + -18 -16c = 2 + -18 Combine like terms: 2 + -18 = -16 -16c = -16 Divide each side by '-16'. c = 1 Simplifying c = 1
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