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Simplifying 7 * 7c + 1 + -4c = 13 * 3c + -2 Multiply 7 * 7 49c + 1 + -4c = 13 * 3c + -2 Reorder the terms: 1 + 49c + -4c = 13 * 3c + -2 Combine like terms: 49c + -4c = 45c 1 + 45c = 13 * 3c + -2 Multiply 13 * 3 1 + 45c = 39c + -2 Reorder the terms: 1 + 45c = -2 + 39c Solving 1 + 45c = -2 + 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. 1 + 45c + -39c = -2 + 39c + -39c Combine like terms: 45c + -39c = 6c 1 + 6c = -2 + 39c + -39c Combine like terms: 39c + -39c = 0 1 + 6c = -2 + 0 1 + 6c = -2 Add '-1' to each side of the equation. 1 + -1 + 6c = -2 + -1 Combine like terms: 1 + -1 = 0 0 + 6c = -2 + -1 6c = -2 + -1 Combine like terms: -2 + -1 = -3 6c = -3 Divide each side by '6'. c = -0.5 Simplifying c = -0.5
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