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Simplifying 3(7c + -1) + -8 = 19c + 3 Reorder the terms: 3(-1 + 7c) + -8 = 19c + 3 (-1 * 3 + 7c * 3) + -8 = 19c + 3 (-3 + 21c) + -8 = 19c + 3 Reorder the terms: -3 + -8 + 21c = 19c + 3 Combine like terms: -3 + -8 = -11 -11 + 21c = 19c + 3 Reorder the terms: -11 + 21c = 3 + 19c Solving -11 + 21c = 3 + 19c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-19c' to each side of the equation. -11 + 21c + -19c = 3 + 19c + -19c Combine like terms: 21c + -19c = 2c -11 + 2c = 3 + 19c + -19c Combine like terms: 19c + -19c = 0 -11 + 2c = 3 + 0 -11 + 2c = 3 Add '11' to each side of the equation. -11 + 11 + 2c = 3 + 11 Combine like terms: -11 + 11 = 0 0 + 2c = 3 + 11 2c = 3 + 11 Combine like terms: 3 + 11 = 14 2c = 14 Divide each side by '2'. c = 7 Simplifying c = 7
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