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Simplifying 28 + -1(3c + 4) = (c + 6) + 6 Reorder the terms: 28 + -1(4 + 3c) = (c + 6) + 6 28 + (4 * -1 + 3c * -1) = (c + 6) + 6 28 + (-4 + -3c) = (c + 6) + 6 Combine like terms: 28 + -4 = 24 24 + -3c = (c + 6) + 6 Reorder the terms: 24 + -3c = (6 + c) + 6 Remove parenthesis around (6 + c) 24 + -3c = 6 + c + 6 Reorder the terms: 24 + -3c = 6 + 6 + c Combine like terms: 6 + 6 = 12 24 + -3c = 12 + c Solving 24 + -3c = 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 + -3c + -1c = 12 + c + -1c Combine like terms: -3c + -1c = -4c 24 + -4c = 12 + c + -1c Combine like terms: c + -1c = 0 24 + -4c = 12 + 0 24 + -4c = 12 Add '-24' to each side of the equation. 24 + -24 + -4c = 12 + -24 Combine like terms: 24 + -24 = 0 0 + -4c = 12 + -24 -4c = 12 + -24 Combine like terms: 12 + -24 = -12 -4c = -12 Divide each side by '-4'. c = 3 Simplifying c = 3
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