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Simplifying 19(5c + -1) + -10 = 93c + 19 Reorder the terms: 19(-1 + 5c) + -10 = 93c + 19 (-1 * 19 + 5c * 19) + -10 = 93c + 19 (-19 + 95c) + -10 = 93c + 19 Reorder the terms: -19 + -10 + 95c = 93c + 19 Combine like terms: -19 + -10 = -29 -29 + 95c = 93c + 19 Reorder the terms: -29 + 95c = 19 + 93c Solving -29 + 95c = 19 + 93c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-93c' to each side of the equation. -29 + 95c + -93c = 19 + 93c + -93c Combine like terms: 95c + -93c = 2c -29 + 2c = 19 + 93c + -93c Combine like terms: 93c + -93c = 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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