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Simplifying 28 + -1(3c + 4) = 2(c + 6) Reorder the terms: 28 + -1(4 + 3c) = 2(c + 6) 28 + (4 * -1 + 3c * -1) = 2(c + 6) 28 + (-4 + -3c) = 2(c + 6) Combine like terms: 28 + -4 = 24 24 + -3c = 2(c + 6) Reorder the terms: 24 + -3c = 2(6 + c) 24 + -3c = (6 * 2 + c * 2) 24 + -3c = (12 + 2c) Solving 24 + -3c = 12 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. 24 + -3c + -2c = 12 + 2c + -2c Combine like terms: -3c + -2c = -5c 24 + -5c = 12 + 2c + -2c Combine like terms: 2c + -2c = 0 24 + -5c = 12 + 0 24 + -5c = 12 Add '-24' to each side of the equation. 24 + -24 + -5c = 12 + -24 Combine like terms: 24 + -24 = 0 0 + -5c = 12 + -24 -5c = 12 + -24 Combine like terms: 12 + -24 = -12 -5c = -12 Divide each side by '-5'. c = 2.4 Simplifying c = 2.4
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