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Simplifying 56 + -1(3c + 4) = (c + 5) + c Reorder the terms: 56 + -1(4 + 3c) = (c + 5) + c 56 + (4 * -1 + 3c * -1) = (c + 5) + c 56 + (-4 + -3c) = (c + 5) + c Combine like terms: 56 + -4 = 52 52 + -3c = (c + 5) + c Reorder the terms: 52 + -3c = (5 + c) + c Remove parenthesis around (5 + c) 52 + -3c = 5 + c + c Combine like terms: c + c = 2c 52 + -3c = 5 + 2c Solving 52 + -3c = 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. 52 + -3c + -2c = 5 + 2c + -2c Combine like terms: -3c + -2c = -5c 52 + -5c = 5 + 2c + -2c Combine like terms: 2c + -2c = 0 52 + -5c = 5 + 0 52 + -5c = 5 Add '-52' to each side of the equation. 52 + -52 + -5c = 5 + -52 Combine like terms: 52 + -52 = 0 0 + -5c = 5 + -52 -5c = 5 + -52 Combine like terms: 5 + -52 = -47 -5c = -47 Divide each side by '-5'. c = 9.4 Simplifying c = 9.4
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