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Simplifying 5(c + 7) = 6c Reorder the terms: 5(7 + c) = 6c (7 * 5 + c * 5) = 6c (35 + 5c) = 6c Solving 35 + 5c = 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 + 5c + -6c = 6c + -6c Combine like terms: 5c + -6c = -1c 35 + -1c = 6c + -6c Combine like terms: 6c + -6c = 0 35 + -1c = 0 Add '-35' to each side of the equation. 35 + -35 + -1c = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -1c = 0 + -35 -1c = 0 + -35 Combine like terms: 0 + -35 = -35 -1c = -35 Divide each side by '-1'. c = 35 Simplifying c = 35
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