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Simplifying 7(7c + 1) + -4c = 13 + (3c + -3) Reorder the terms: 7(1 + 7c) + -4c = 13 + (3c + -3) (1 * 7 + 7c * 7) + -4c = 13 + (3c + -3) (7 + 49c) + -4c = 13 + (3c + -3) Combine like terms: 49c + -4c = 45c 7 + 45c = 13 + (3c + -3) Reorder the terms: 7 + 45c = 13 + (-3 + 3c) Remove parenthesis around (-3 + 3c) 7 + 45c = 13 + -3 + 3c Combine like terms: 13 + -3 = 10 7 + 45c = 10 + 3c Solving 7 + 45c = 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. 7 + 45c + -3c = 10 + 3c + -3c Combine like terms: 45c + -3c = 42c 7 + 42c = 10 + 3c + -3c Combine like terms: 3c + -3c = 0 7 + 42c = 10 + 0 7 + 42c = 10 Add '-7' to each side of the equation. 7 + -7 + 42c = 10 + -7 Combine like terms: 7 + -7 = 0 0 + 42c = 10 + -7 42c = 10 + -7 Combine like terms: 10 + -7 = 3 42c = 3 Divide each side by '42'. c = 0.07142857143 Simplifying c = 0.07142857143
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