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Simplifying 48 + -1(3c + 4) = (c + 7) + c Reorder the terms: 48 + -1(4 + 3c) = (c + 7) + c 48 + (4 * -1 + 3c * -1) = (c + 7) + c 48 + (-4 + -3c) = (c + 7) + c Combine like terms: 48 + -4 = 44 44 + -3c = (c + 7) + c Reorder the terms: 44 + -3c = (7 + c) + c Remove parenthesis around (7 + c) 44 + -3c = 7 + c + c Combine like terms: c + c = 2c 44 + -3c = 7 + 2c Solving 44 + -3c = 7 + 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. 44 + -3c + -2c = 7 + 2c + -2c Combine like terms: -3c + -2c = -5c 44 + -5c = 7 + 2c + -2c Combine like terms: 2c + -2c = 0 44 + -5c = 7 + 0 44 + -5c = 7 Add '-44' to each side of the equation. 44 + -44 + -5c = 7 + -44 Combine like terms: 44 + -44 = 0 0 + -5c = 7 + -44 -5c = 7 + -44 Combine like terms: 7 + -44 = -37 -5c = -37 Divide each side by '-5'. c = 7.4 Simplifying c = 7.4
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