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Simplifying 6c + -1(c + -4) = 28 + c Reorder the terms: 6c + -1(-4 + c) = 28 + c 6c + (-4 * -1 + c * -1) = 28 + c 6c + (4 + -1c) = 28 + c Reorder the terms: 4 + 6c + -1c = 28 + c Combine like terms: 6c + -1c = 5c 4 + 5c = 28 + c Solving 4 + 5c = 28 + 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. 4 + 5c + -1c = 28 + c + -1c Combine like terms: 5c + -1c = 4c 4 + 4c = 28 + c + -1c Combine like terms: c + -1c = 0 4 + 4c = 28 + 0 4 + 4c = 28 Add '-4' to each side of the equation. 4 + -4 + 4c = 28 + -4 Combine like terms: 4 + -4 = 0 0 + 4c = 28 + -4 4c = 28 + -4 Combine like terms: 28 + -4 = 24 4c = 24 Divide each side by '4'. c = 6 Simplifying c = 6
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