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