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Simplifying 7c + 5 = 2(3c + 4) Reorder the terms: 5 + 7c = 2(3c + 4) Reorder the terms: 5 + 7c = 2(4 + 3c) 5 + 7c = (4 * 2 + 3c * 2) 5 + 7c = (8 + 6c) Solving 5 + 7c = 8 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 5 + 7c + -6c = 8 + 6c + -6c Combine like terms: 7c + -6c = 1c 5 + 1c = 8 + 6c + -6c Combine like terms: 6c + -6c = 0 5 + 1c = 8 + 0 5 + 1c = 8 Add '-5' to each side of the equation. 5 + -5 + 1c = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 1c = 8 + -5 1c = 8 + -5 Combine like terms: 8 + -5 = 3 1c = 3 Divide each side by '1'. c = 3 Simplifying c = 3
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