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Simplifying 7(c + 3) = (8c + -14) Reorder the terms: 7(3 + c) = (8c + -14) (3 * 7 + c * 7) = (8c + -14) (21 + 7c) = (8c + -14) Reorder the terms: 21 + 7c = (-14 + 8c) Remove parenthesis around (-14 + 8c) 21 + 7c = -14 + 8c Solving 21 + 7c = -14 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. 21 + 7c + -8c = -14 + 8c + -8c Combine like terms: 7c + -8c = -1c 21 + -1c = -14 + 8c + -8c Combine like terms: 8c + -8c = 0 21 + -1c = -14 + 0 21 + -1c = -14 Add '-21' to each side of the equation. 21 + -21 + -1c = -14 + -21 Combine like terms: 21 + -21 = 0 0 + -1c = -14 + -21 -1c = -14 + -21 Combine like terms: -14 + -21 = -35 -1c = -35 Divide each side by '-1'. c = 35 Simplifying c = 35
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