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Simplifying 19(9c + -1) + -4 = 169c + 19 Reorder the terms: 19(-1 + 9c) + -4 = 169c + 19 (-1 * 19 + 9c * 19) + -4 = 169c + 19 (-19 + 171c) + -4 = 169c + 19 Reorder the terms: -19 + -4 + 171c = 169c + 19 Combine like terms: -19 + -4 = -23 -23 + 171c = 169c + 19 Reorder the terms: -23 + 171c = 19 + 169c Solving -23 + 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. -23 + 171c + -169c = 19 + 169c + -169c Combine like terms: 171c + -169c = 2c -23 + 2c = 19 + 169c + -169c Combine like terms: 169c + -169c = 0 -23 + 2c = 19 + 0 -23 + 2c = 19 Add '23' to each side of the equation. -23 + 23 + 2c = 19 + 23 Combine like terms: -23 + 23 = 0 0 + 2c = 19 + 23 2c = 19 + 23 Combine like terms: 19 + 23 = 42 2c = 42 Divide each side by '2'. c = 21 Simplifying c = 21
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