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Simplifying 48 + -1(8c + 4) = 4(c + 5) + -1c Reorder the terms: 48 + -1(4 + 8c) = 4(c + 5) + -1c 48 + (4 * -1 + 8c * -1) = 4(c + 5) + -1c 48 + (-4 + -8c) = 4(c + 5) + -1c Combine like terms: 48 + -4 = 44 44 + -8c = 4(c + 5) + -1c Reorder the terms: 44 + -8c = 4(5 + c) + -1c 44 + -8c = (5 * 4 + c * 4) + -1c 44 + -8c = (20 + 4c) + -1c Combine like terms: 4c + -1c = 3c 44 + -8c = 20 + 3c Solving 44 + -8c = 20 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 44 + -8c + -3c = 20 + 3c + -3c Combine like terms: -8c + -3c = -11c 44 + -11c = 20 + 3c + -3c Combine like terms: 3c + -3c = 0 44 + -11c = 20 + 0 44 + -11c = 20 Add '-44' to each side of the equation. 44 + -44 + -11c = 20 + -44 Combine like terms: 44 + -44 = 0 0 + -11c = 20 + -44 -11c = 20 + -44 Combine like terms: 20 + -44 = -24 -11c = -24 Divide each side by '-11'. c = 2.181818182 Simplifying c = 2.181818182
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