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Simplifying 5(2c + c) = 4(c + -6) Combine like terms: 2c + c = 3c 5(3c) = 4(c + -6) Remove parenthesis around (3c) 5 * 3c = 4(c + -6) Multiply 5 * 3 15c = 4(c + -6) Reorder the terms: 15c = 4(-6 + c) 15c = (-6 * 4 + c * 4) 15c = (-24 + 4c) Solving 15c = -24 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. 15c + -4c = -24 + 4c + -4c Combine like terms: 15c + -4c = 11c 11c = -24 + 4c + -4c Combine like terms: 4c + -4c = 0 11c = -24 + 0 11c = -24 Divide each side by '11'. c = -2.181818182 Simplifying c = -2.181818182
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