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Simplifying 7(7c + 1) + -4c = (3c + -2) Reorder the terms: 7(1 + 7c) + -4c = (3c + -2) (1 * 7 + 7c * 7) + -4c = (3c + -2) (7 + 49c) + -4c = (3c + -2) Combine like terms: 49c + -4c = 45c 7 + 45c = (3c + -2) Reorder the terms: 7 + 45c = (-2 + 3c) Remove parenthesis around (-2 + 3c) 7 + 45c = -2 + 3c Solving 7 + 45c = -2 + 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 = -2 + 3c + -3c Combine like terms: 45c + -3c = 42c 7 + 42c = -2 + 3c + -3c Combine like terms: 3c + -3c = 0 7 + 42c = -2 + 0 7 + 42c = -2 Add '-7' to each side of the equation. 7 + -7 + 42c = -2 + -7 Combine like terms: 7 + -7 = 0 0 + 42c = -2 + -7 42c = -2 + -7 Combine like terms: -2 + -7 = -9 42c = -9 Divide each side by '42'. c = -0.2142857143 Simplifying c = -0.2142857143
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