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Simplifying 7(5 + c) = 6(9 + c) (5 * 7 + c * 7) = 6(9 + c) (35 + 7c) = 6(9 + c) 35 + 7c = (9 * 6 + c * 6) 35 + 7c = (54 + 6c) Solving 35 + 7c = 54 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 35 + 7c + -6c = 54 + 6c + -6c Combine like terms: 7c + -6c = 1c 35 + 1c = 54 + 6c + -6c Combine like terms: 6c + -6c = 0 35 + 1c = 54 + 0 35 + 1c = 54 Add '-35' to each side of the equation. 35 + -35 + 1c = 54 + -35 Combine like terms: 35 + -35 = 0 0 + 1c = 54 + -35 1c = 54 + -35 Combine like terms: 54 + -35 = 19 1c = 19 Divide each side by '1'. c = 19 Simplifying c = 19
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