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Simplifying 4(c + 7) = 7 + c Reorder the terms: 4(7 + c) = 7 + c (7 * 4 + c * 4) = 7 + c (28 + 4c) = 7 + c Solving 28 + 4c = 7 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 28 + 4c + -1c = 7 + c + -1c Combine like terms: 4c + -1c = 3c 28 + 3c = 7 + c + -1c Combine like terms: c + -1c = 0 28 + 3c = 7 + 0 28 + 3c = 7 Add '-28' to each side of the equation. 28 + -28 + 3c = 7 + -28 Combine like terms: 28 + -28 = 0 0 + 3c = 7 + -28 3c = 7 + -28 Combine like terms: 7 + -28 = -21 3c = -21 Divide each side by '3'. c = -7 Simplifying c = -7
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