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Simplifying -1(3c + 4) = 2(c + 5) + c Reorder the terms: -1(4 + 3c) = 2(c + 5) + c (4 * -1 + 3c * -1) = 2(c + 5) + c (-4 + -3c) = 2(c + 5) + c Reorder the terms: -4 + -3c = 2(5 + c) + c -4 + -3c = (5 * 2 + c * 2) + c -4 + -3c = (10 + 2c) + c Combine like terms: 2c + c = 3c -4 + -3c = 10 + 3c Solving -4 + -3c = 10 + 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. -4 + -3c + -3c = 10 + 3c + -3c Combine like terms: -3c + -3c = -6c -4 + -6c = 10 + 3c + -3c Combine like terms: 3c + -3c = 0 -4 + -6c = 10 + 0 -4 + -6c = 10 Add '4' to each side of the equation. -4 + 4 + -6c = 10 + 4 Combine like terms: -4 + 4 = 0 0 + -6c = 10 + 4 -6c = 10 + 4 Combine like terms: 10 + 4 = 14 -6c = 14 Divide each side by '-6'. c = -2.333333333 Simplifying c = -2.333333333
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