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Simplifying 7[7c + 1] + -4c = 13[3c + -2] Reorder the terms: 7[1 + 7c] + -4c = 13[3c + -2] [1 * 7 + 7c * 7] + -4c = 13[3c + -2] [7 + 49c] + -4c = 13[3c + -2] Combine like terms: 49c + -4c = 45c 7 + 45c = 13[3c + -2] Reorder the terms: 7 + 45c = 13[-2 + 3c] 7 + 45c = [-2 * 13 + 3c * 13] 7 + 45c = [-26 + 39c] Solving 7 + 45c = -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 + 45c + -39c = -26 + 39c + -39c Combine like terms: 45c + -39c = 6c 7 + 6c = -26 + 39c + -39c Combine like terms: 39c + -39c = 0 7 + 6c = -26 + 0 7 + 6c = -26 Add '-7' to each side of the equation. 7 + -7 + 6c = -26 + -7 Combine like terms: 7 + -7 = 0 0 + 6c = -26 + -7 6c = -26 + -7 Combine like terms: -26 + -7 = -33 6c = -33 Divide each side by '6'. c = -5.5 Simplifying c = -5.5
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