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Simplifying 5(4c + 3) = 6(3c + 2) + -1 Reorder the terms: 5(3 + 4c) = 6(3c + 2) + -1 (3 * 5 + 4c * 5) = 6(3c + 2) + -1 (15 + 20c) = 6(3c + 2) + -1 Reorder the terms: 15 + 20c = 6(2 + 3c) + -1 15 + 20c = (2 * 6 + 3c * 6) + -1 15 + 20c = (12 + 18c) + -1 Reorder the terms: 15 + 20c = 12 + -1 + 18c Combine like terms: 12 + -1 = 11 15 + 20c = 11 + 18c Solving 15 + 20c = 11 + 18c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-18c' to each side of the equation. 15 + 20c + -18c = 11 + 18c + -18c Combine like terms: 20c + -18c = 2c 15 + 2c = 11 + 18c + -18c Combine like terms: 18c + -18c = 0 15 + 2c = 11 + 0 15 + 2c = 11 Add '-15' to each side of the equation. 15 + -15 + 2c = 11 + -15 Combine like terms: 15 + -15 = 0 0 + 2c = 11 + -15 2c = 11 + -15 Combine like terms: 11 + -15 = -4 2c = -4 Divide each side by '2'. c = -2 Simplifying c = -2
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