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Simplifying 5(c + 2) = 2(c + 1) Reorder the terms: 5(2 + c) = 2(c + 1) (2 * 5 + c * 5) = 2(c + 1) (10 + 5c) = 2(c + 1) Reorder the terms: 10 + 5c = 2(1 + c) 10 + 5c = (1 * 2 + c * 2) 10 + 5c = (2 + 2c) Solving 10 + 5c = 2 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. 10 + 5c + -2c = 2 + 2c + -2c Combine like terms: 5c + -2c = 3c 10 + 3c = 2 + 2c + -2c Combine like terms: 2c + -2c = 0 10 + 3c = 2 + 0 10 + 3c = 2 Add '-10' to each side of the equation. 10 + -10 + 3c = 2 + -10 Combine like terms: 10 + -10 = 0 0 + 3c = 2 + -10 3c = 2 + -10 Combine like terms: 2 + -10 = -8 3c = -8 Divide each side by '3'. c = -2.666666667 Simplifying c = -2.666666667
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