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Simplifying 5(1 + c) = 6(2 + c) (1 * 5 + c * 5) = 6(2 + c) (5 + 5c) = 6(2 + c) 5 + 5c = (2 * 6 + c * 6) 5 + 5c = (12 + 6c) Solving 5 + 5c = 12 + 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. 5 + 5c + -6c = 12 + 6c + -6c Combine like terms: 5c + -6c = -1c 5 + -1c = 12 + 6c + -6c Combine like terms: 6c + -6c = 0 5 + -1c = 12 + 0 5 + -1c = 12 Add '-5' to each side of the equation. 5 + -5 + -1c = 12 + -5 Combine like terms: 5 + -5 = 0 0 + -1c = 12 + -5 -1c = 12 + -5 Combine like terms: 12 + -5 = 7 -1c = 7 Divide each side by '-1'. c = -7 Simplifying c = -7
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