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Simplifying 27 + -1(2c + 4) = (c + 4) + c Reorder the terms: 27 + -1(4 + 2c) = (c + 4) + c 27 + (4 * -1 + 2c * -1) = (c + 4) + c 27 + (-4 + -2c) = (c + 4) + c Combine like terms: 27 + -4 = 23 23 + -2c = (c + 4) + c Reorder the terms: 23 + -2c = (4 + c) + c Remove parenthesis around (4 + c) 23 + -2c = 4 + c + c Combine like terms: c + c = 2c 23 + -2c = 4 + 2c Solving 23 + -2c = 4 + 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. 23 + -2c + -2c = 4 + 2c + -2c Combine like terms: -2c + -2c = -4c 23 + -4c = 4 + 2c + -2c Combine like terms: 2c + -2c = 0 23 + -4c = 4 + 0 23 + -4c = 4 Add '-23' to each side of the equation. 23 + -23 + -4c = 4 + -23 Combine like terms: 23 + -23 = 0 0 + -4c = 4 + -23 -4c = 4 + -23 Combine like terms: 4 + -23 = -19 -4c = -19 Divide each side by '-4'. c = 4.75 Simplifying c = 4.75
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