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Simplifying 6(c + 8) = 2 + 5c Reorder the terms: 6(8 + c) = 2 + 5c (8 * 6 + c * 6) = 2 + 5c (48 + 6c) = 2 + 5c Solving 48 + 6c = 2 + 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 = 2 + 5c + -5c Combine like terms: 6c + -5c = 1c 48 + 1c = 2 + 5c + -5c Combine like terms: 5c + -5c = 0 48 + 1c = 2 + 0 48 + 1c = 2 Add '-48' to each side of the equation. 48 + -48 + 1c = 2 + -48 Combine like terms: 48 + -48 = 0 0 + 1c = 2 + -48 1c = 2 + -48 Combine like terms: 2 + -48 = -46 1c = -46 Divide each side by '1'. c = -46 Simplifying c = -46
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