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Simplifying 2(5c + 1) + -48 = 4c + 2 Reorder the terms: 2(1 + 5c) + -48 = 4c + 2 (1 * 2 + 5c * 2) + -48 = 4c + 2 (2 + 10c) + -48 = 4c + 2 Reorder the terms: 2 + -48 + 10c = 4c + 2 Combine like terms: 2 + -48 = -46 -46 + 10c = 4c + 2 Reorder the terms: -46 + 10c = 2 + 4c Solving -46 + 10c = 2 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. -46 + 10c + -4c = 2 + 4c + -4c Combine like terms: 10c + -4c = 6c -46 + 6c = 2 + 4c + -4c Combine like terms: 4c + -4c = 0 -46 + 6c = 2 + 0 -46 + 6c = 2 Add '46' to each side of the equation. -46 + 46 + 6c = 2 + 46 Combine like terms: -46 + 46 = 0 0 + 6c = 2 + 46 6c = 2 + 46 Combine like terms: 2 + 46 = 48 6c = 48 Divide each side by '6'. c = 8 Simplifying c = 8
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