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Simplifying 27 + -1(2c + 3) = 2(c + 7) + 6 Reorder the terms: 27 + -1(3 + 2c) = 2(c + 7) + 6 27 + (3 * -1 + 2c * -1) = 2(c + 7) + 6 27 + (-3 + -2c) = 2(c + 7) + 6 Combine like terms: 27 + -3 = 24 24 + -2c = 2(c + 7) + 6 Reorder the terms: 24 + -2c = 2(7 + c) + 6 24 + -2c = (7 * 2 + c * 2) + 6 24 + -2c = (14 + 2c) + 6 Reorder the terms: 24 + -2c = 14 + 6 + 2c Combine like terms: 14 + 6 = 20 24 + -2c = 20 + 2c Solving 24 + -2c = 20 + 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 + -2c + -2c = 20 + 2c + -2c Combine like terms: -2c + -2c = -4c 24 + -4c = 20 + 2c + -2c Combine like terms: 2c + -2c = 0 24 + -4c = 20 + 0 24 + -4c = 20 Add '-24' to each side of the equation. 24 + -24 + -4c = 20 + -24 Combine like terms: 24 + -24 = 0 0 + -4c = 20 + -24 -4c = 20 + -24 Combine like terms: 20 + -24 = -4 -4c = -4 Divide each side by '-4'. c = 1 Simplifying c = 1
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