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Simplifying 19(7c + -1) + -2 = 131c + 19 Reorder the terms: 19(-1 + 7c) + -2 = 131c + 19 (-1 * 19 + 7c * 19) + -2 = 131c + 19 (-19 + 133c) + -2 = 131c + 19 Reorder the terms: -19 + -2 + 133c = 131c + 19 Combine like terms: -19 + -2 = -21 -21 + 133c = 131c + 19 Reorder the terms: -21 + 133c = 19 + 131c Solving -21 + 133c = 19 + 131c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-131c' to each side of the equation. -21 + 133c + -131c = 19 + 131c + -131c Combine like terms: 133c + -131c = 2c -21 + 2c = 19 + 131c + -131c Combine like terms: 131c + -131c = 0 -21 + 2c = 19 + 0 -21 + 2c = 19 Add '21' to each side of the equation. -21 + 21 + 2c = 19 + 21 Combine like terms: -21 + 21 = 0 0 + 2c = 19 + 21 2c = 19 + 21 Combine like terms: 19 + 21 = 40 2c = 40 Divide each side by '2'. c = 20 Simplifying c = 20
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