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Simplifying 7(2c + 4) = 10(c + 4) Reorder the terms: 7(4 + 2c) = 10(c + 4) (4 * 7 + 2c * 7) = 10(c + 4) (28 + 14c) = 10(c + 4) Reorder the terms: 28 + 14c = 10(4 + c) 28 + 14c = (4 * 10 + c * 10) 28 + 14c = (40 + 10c) Solving 28 + 14c = 40 + 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. 28 + 14c + -10c = 40 + 10c + -10c Combine like terms: 14c + -10c = 4c 28 + 4c = 40 + 10c + -10c Combine like terms: 10c + -10c = 0 28 + 4c = 40 + 0 28 + 4c = 40 Add '-28' to each side of the equation. 28 + -28 + 4c = 40 + -28 Combine like terms: 28 + -28 = 0 0 + 4c = 40 + -28 4c = 40 + -28 Combine like terms: 40 + -28 = 12 4c = 12 Divide each side by '4'. c = 3 Simplifying c = 3
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