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Simplifying 5c + -2(4c + -9) = 5 + 5(2 + -1c) Reorder the terms: 5c + -2(-9 + 4c) = 5 + 5(2 + -1c) 5c + (-9 * -2 + 4c * -2) = 5 + 5(2 + -1c) 5c + (18 + -8c) = 5 + 5(2 + -1c) Reorder the terms: 18 + 5c + -8c = 5 + 5(2 + -1c) Combine like terms: 5c + -8c = -3c 18 + -3c = 5 + 5(2 + -1c) 18 + -3c = 5 + (2 * 5 + -1c * 5) 18 + -3c = 5 + (10 + -5c) Combine like terms: 5 + 10 = 15 18 + -3c = 15 + -5c Solving 18 + -3c = 15 + -5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '5c' to each side of the equation. 18 + -3c + 5c = 15 + -5c + 5c Combine like terms: -3c + 5c = 2c 18 + 2c = 15 + -5c + 5c Combine like terms: -5c + 5c = 0 18 + 2c = 15 + 0 18 + 2c = 15 Add '-18' to each side of the equation. 18 + -18 + 2c = 15 + -18 Combine like terms: 18 + -18 = 0 0 + 2c = 15 + -18 2c = 15 + -18 Combine like terms: 15 + -18 = -3 2c = -3 Divide each side by '2'. c = -1.5 Simplifying c = -1.5
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