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Simplifying 4(c + 5) + 4c = 7(c + 3) Reorder the terms: 4(5 + c) + 4c = 7(c + 3) (5 * 4 + c * 4) + 4c = 7(c + 3) (20 + 4c) + 4c = 7(c + 3) Combine like terms: 4c + 4c = 8c 20 + 8c = 7(c + 3) Reorder the terms: 20 + 8c = 7(3 + c) 20 + 8c = (3 * 7 + c * 7) 20 + 8c = (21 + 7c) Solving 20 + 8c = 21 + 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. 20 + 8c + -7c = 21 + 7c + -7c Combine like terms: 8c + -7c = 1c 20 + 1c = 21 + 7c + -7c Combine like terms: 7c + -7c = 0 20 + 1c = 21 + 0 20 + 1c = 21 Add '-20' to each side of the equation. 20 + -20 + 1c = 21 + -20 Combine like terms: 20 + -20 = 0 0 + 1c = 21 + -20 1c = 21 + -20 Combine like terms: 21 + -20 = 1 1c = 1 Divide each side by '1'. c = 1 Simplifying c = 1
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