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Simplifying 2(c + 4) + 3c = 5(2c + 10) Reorder the terms: 2(4 + c) + 3c = 5(2c + 10) (4 * 2 + c * 2) + 3c = 5(2c + 10) (8 + 2c) + 3c = 5(2c + 10) Combine like terms: 2c + 3c = 5c 8 + 5c = 5(2c + 10) Reorder the terms: 8 + 5c = 5(10 + 2c) 8 + 5c = (10 * 5 + 2c * 5) 8 + 5c = (50 + 10c) Solving 8 + 5c = 50 + 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. 8 + 5c + -10c = 50 + 10c + -10c Combine like terms: 5c + -10c = -5c 8 + -5c = 50 + 10c + -10c Combine like terms: 10c + -10c = 0 8 + -5c = 50 + 0 8 + -5c = 50 Add '-8' to each side of the equation. 8 + -8 + -5c = 50 + -8 Combine like terms: 8 + -8 = 0 0 + -5c = 50 + -8 -5c = 50 + -8 Combine like terms: 50 + -8 = 42 -5c = 42 Divide each side by '-5'. c = -8.4 Simplifying c = -8.4
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