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Simplifying 19(9c + -1) + -10 = 169c + 19 Reorder the terms: 19(-1 + 9c) + -10 = 169c + 19 (-1 * 19 + 9c * 19) + -10 = 169c + 19 (-19 + 171c) + -10 = 169c + 19 Reorder the terms: -19 + -10 + 171c = 169c + 19 Combine like terms: -19 + -10 = -29 -29 + 171c = 169c + 19 Reorder the terms: -29 + 171c = 19 + 169c Solving -29 + 171c = 19 + 169c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-169c' to each side of the equation. -29 + 171c + -169c = 19 + 169c + -169c Combine like terms: 171c + -169c = 2c -29 + 2c = 19 + 169c + -169c Combine like terms: 169c + -169c = 0 -29 + 2c = 19 + 0 -29 + 2c = 19 Add '29' to each side of the equation. -29 + 29 + 2c = 19 + 29 Combine like terms: -29 + 29 = 0 0 + 2c = 19 + 29 2c = 19 + 29 Combine like terms: 19 + 29 = 48 2c = 48 Divide each side by '2'. c = 24 Simplifying c = 24
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