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Simplifying 6(8 + c) = 5(2 + c) (8 * 6 + c * 6) = 5(2 + c) (48 + 6c) = 5(2 + c) 48 + 6c = (2 * 5 + c * 5) 48 + 6c = (10 + 5c) Solving 48 + 6c = 10 + 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. 48 + 6c + -5c = 10 + 5c + -5c Combine like terms: 6c + -5c = 1c 48 + 1c = 10 + 5c + -5c Combine like terms: 5c + -5c = 0 48 + 1c = 10 + 0 48 + 1c = 10 Add '-48' to each side of the equation. 48 + -48 + 1c = 10 + -48 Combine like terms: 48 + -48 = 0 0 + 1c = 10 + -48 1c = 10 + -48 Combine like terms: 10 + -48 = -38 1c = -38 Divide each side by '1'. c = -38 Simplifying c = -38
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