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Simplifying 4(c + 7) = 5c + -7 Reorder the terms: 4(7 + c) = 5c + -7 (7 * 4 + c * 4) = 5c + -7 (28 + 4c) = 5c + -7 Reorder the terms: 28 + 4c = -7 + 5c Solving 28 + 4c = -7 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 28 + 4c + -5c = -7 + 5c + -5c Combine like terms: 4c + -5c = -1c 28 + -1c = -7 + 5c + -5c Combine like terms: 5c + -5c = 0 28 + -1c = -7 + 0 28 + -1c = -7 Add '-28' to each side of the equation. 28 + -28 + -1c = -7 + -28 Combine like terms: 28 + -28 = 0 0 + -1c = -7 + -28 -1c = -7 + -28 Combine like terms: -7 + -28 = -35 -1c = -35 Divide each side by '-1'. c = 35 Simplifying c = 35
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