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Simplifying -6(4 + -1c) + 2(2 + c) = 5(2c + -1) (4 * -6 + -1c * -6) + 2(2 + c) = 5(2c + -1) (-24 + 6c) + 2(2 + c) = 5(2c + -1) -24 + 6c + (2 * 2 + c * 2) = 5(2c + -1) -24 + 6c + (4 + 2c) = 5(2c + -1) Reorder the terms: -24 + 4 + 6c + 2c = 5(2c + -1) Combine like terms: -24 + 4 = -20 -20 + 6c + 2c = 5(2c + -1) Combine like terms: 6c + 2c = 8c -20 + 8c = 5(2c + -1) Reorder the terms: -20 + 8c = 5(-1 + 2c) -20 + 8c = (-1 * 5 + 2c * 5) -20 + 8c = (-5 + 10c) Solving -20 + 8c = -5 + 10c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10c' to each side of the equation. -20 + 8c + -10c = -5 + 10c + -10c Combine like terms: 8c + -10c = -2c -20 + -2c = -5 + 10c + -10c Combine like terms: 10c + -10c = 0 -20 + -2c = -5 + 0 -20 + -2c = -5 Add '20' to each side of the equation. -20 + 20 + -2c = -5 + 20 Combine like terms: -20 + 20 = 0 0 + -2c = -5 + 20 -2c = -5 + 20 Combine like terms: -5 + 20 = 15 -2c = 15 Divide each side by '-2'. c = -7.5 Simplifying c = -7.5
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