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Simplifying 19(6c + -1) + -16 = 112c + 19 Reorder the terms: 19(-1 + 6c) + -16 = 112c + 19 (-1 * 19 + 6c * 19) + -16 = 112c + 19 (-19 + 114c) + -16 = 112c + 19 Reorder the terms: -19 + -16 + 114c = 112c + 19 Combine like terms: -19 + -16 = -35 -35 + 114c = 112c + 19 Reorder the terms: -35 + 114c = 19 + 112c Solving -35 + 114c = 19 + 112c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-112c' to each side of the equation. -35 + 114c + -112c = 19 + 112c + -112c Combine like terms: 114c + -112c = 2c -35 + 2c = 19 + 112c + -112c Combine like terms: 112c + -112c = 0 -35 + 2c = 19 + 0 -35 + 2c = 19 Add '35' to each side of the equation. -35 + 35 + 2c = 19 + 35 Combine like terms: -35 + 35 = 0 0 + 2c = 19 + 35 2c = 19 + 35 Combine like terms: 19 + 35 = 54 2c = 54 Divide each side by '2'. c = 27 Simplifying c = 27
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