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Simplifying 52 + -1(2c + 4) = (c + 5) + c Reorder the terms: 52 + -1(4 + 2c) = (c + 5) + c 52 + (4 * -1 + 2c * -1) = (c + 5) + c 52 + (-4 + -2c) = (c + 5) + c Combine like terms: 52 + -4 = 48 48 + -2c = (c + 5) + c Reorder the terms: 48 + -2c = (5 + c) + c Remove parenthesis around (5 + c) 48 + -2c = 5 + c + c Combine like terms: c + c = 2c 48 + -2c = 5 + 2c Solving 48 + -2c = 5 + 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. 48 + -2c + -2c = 5 + 2c + -2c Combine like terms: -2c + -2c = -4c 48 + -4c = 5 + 2c + -2c Combine like terms: 2c + -2c = 0 48 + -4c = 5 + 0 48 + -4c = 5 Add '-48' to each side of the equation. 48 + -48 + -4c = 5 + -48 Combine like terms: 48 + -48 = 0 0 + -4c = 5 + -48 -4c = 5 + -48 Combine like terms: 5 + -48 = -43 -4c = -43 Divide each side by '-4'. c = 10.75 Simplifying c = 10.75
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