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