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Simplifying 2(3c + 7) = 4(4c + 1) Reorder the terms: 2(7 + 3c) = 4(4c + 1) (7 * 2 + 3c * 2) = 4(4c + 1) (14 + 6c) = 4(4c + 1) Reorder the terms: 14 + 6c = 4(1 + 4c) 14 + 6c = (1 * 4 + 4c * 4) 14 + 6c = (4 + 16c) Solving 14 + 6c = 4 + 16c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-16c' to each side of the equation. 14 + 6c + -16c = 4 + 16c + -16c Combine like terms: 6c + -16c = -10c 14 + -10c = 4 + 16c + -16c Combine like terms: 16c + -16c = 0 14 + -10c = 4 + 0 14 + -10c = 4 Add '-14' to each side of the equation. 14 + -14 + -10c = 4 + -14 Combine like terms: 14 + -14 = 0 0 + -10c = 4 + -14 -10c = 4 + -14 Combine like terms: 4 + -14 = -10 -10c = -10 Divide each side by '-10'. c = 1 Simplifying c = 1
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