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Simplifying 49 = 5(3c + 5) + -3c Reorder the terms: 49 = 5(5 + 3c) + -3c 49 = (5 * 5 + 3c * 5) + -3c 49 = (25 + 15c) + -3c Combine like terms: 15c + -3c = 12c 49 = 25 + 12c Solving 49 = 25 + 12c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12c' to each side of the equation. 49 + -12c = 25 + 12c + -12c Combine like terms: 12c + -12c = 0 49 + -12c = 25 + 0 49 + -12c = 25 Add '-49' to each side of the equation. 49 + -49 + -12c = 25 + -49 Combine like terms: 49 + -49 = 0 0 + -12c = 25 + -49 -12c = 25 + -49 Combine like terms: 25 + -49 = -24 -12c = -24 Divide each side by '-12'. c = 2 Simplifying c = 2
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