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