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Simplifying 7(7c + 1) + -4c = 14(3c + -2) Reorder the terms: 7(1 + 7c) + -4c = 14(3c + -2) (1 * 7 + 7c * 7) + -4c = 14(3c + -2) (7 + 49c) + -4c = 14(3c + -2) Combine like terms: 49c + -4c = 45c 7 + 45c = 14(3c + -2) Reorder the terms: 7 + 45c = 14(-2 + 3c) 7 + 45c = (-2 * 14 + 3c * 14) 7 + 45c = (-28 + 42c) Solving 7 + 45c = -28 + 42c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-42c' to each side of the equation. 7 + 45c + -42c = -28 + 42c + -42c Combine like terms: 45c + -42c = 3c 7 + 3c = -28 + 42c + -42c Combine like terms: 42c + -42c = 0 7 + 3c = -28 + 0 7 + 3c = -28 Add '-7' to each side of the equation. 7 + -7 + 3c = -28 + -7 Combine like terms: 7 + -7 = 0 0 + 3c = -28 + -7 3c = -28 + -7 Combine like terms: -28 + -7 = -35 3c = -35 Divide each side by '3'. c = -11.66666667 Simplifying c = -11.66666667
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