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Simplifying 3(7c + 1) + -46 = 15c + 5 Reorder the terms: 3(1 + 7c) + -46 = 15c + 5 (1 * 3 + 7c * 3) + -46 = 15c + 5 (3 + 21c) + -46 = 15c + 5 Reorder the terms: 3 + -46 + 21c = 15c + 5 Combine like terms: 3 + -46 = -43 -43 + 21c = 15c + 5 Reorder the terms: -43 + 21c = 5 + 15c Solving -43 + 21c = 5 + 15c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-15c' to each side of the equation. -43 + 21c + -15c = 5 + 15c + -15c Combine like terms: 21c + -15c = 6c -43 + 6c = 5 + 15c + -15c Combine like terms: 15c + -15c = 0 -43 + 6c = 5 + 0 -43 + 6c = 5 Add '43' to each side of the equation. -43 + 43 + 6c = 5 + 43 Combine like terms: -43 + 43 = 0 0 + 6c = 5 + 43 6c = 5 + 43 Combine like terms: 5 + 43 = 48 6c = 48 Divide each side by '6'. c = 8 Simplifying c = 8
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