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Simplifying 7(c + 1) + -4c = 13(3c + -2) Reorder the terms: 7(1 + c) + -4c = 13(3c + -2) (1 * 7 + c * 7) + -4c = 13(3c + -2) (7 + 7c) + -4c = 13(3c + -2) Combine like terms: 7c + -4c = 3c 7 + 3c = 13(3c + -2) Reorder the terms: 7 + 3c = 13(-2 + 3c) 7 + 3c = (-2 * 13 + 3c * 13) 7 + 3c = (-26 + 39c) Solving 7 + 3c = -26 + 39c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-39c' to each side of the equation. 7 + 3c + -39c = -26 + 39c + -39c Combine like terms: 3c + -39c = -36c 7 + -36c = -26 + 39c + -39c Combine like terms: 39c + -39c = 0 7 + -36c = -26 + 0 7 + -36c = -26 Add '-7' to each side of the equation. 7 + -7 + -36c = -26 + -7 Combine like terms: 7 + -7 = 0 0 + -36c = -26 + -7 -36c = -26 + -7 Combine like terms: -26 + -7 = -33 -36c = -33 Divide each side by '-36'. c = 0.9166666667 Simplifying c = 0.9166666667
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