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