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Simplifying 6(7c + -1) + -8 = 40c + 6 Reorder the terms: 6(-1 + 7c) + -8 = 40c + 6 (-1 * 6 + 7c * 6) + -8 = 40c + 6 (-6 + 42c) + -8 = 40c + 6 Reorder the terms: -6 + -8 + 42c = 40c + 6 Combine like terms: -6 + -8 = -14 -14 + 42c = 40c + 6 Reorder the terms: -14 + 42c = 6 + 40c Solving -14 + 42c = 6 + 40c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-40c' to each side of the equation. -14 + 42c + -40c = 6 + 40c + -40c Combine like terms: 42c + -40c = 2c -14 + 2c = 6 + 40c + -40c Combine like terms: 40c + -40c = 0 -14 + 2c = 6 + 0 -14 + 2c = 6 Add '14' to each side of the equation. -14 + 14 + 2c = 6 + 14 Combine like terms: -14 + 14 = 0 0 + 2c = 6 + 14 2c = 6 + 14 Combine like terms: 6 + 14 = 20 2c = 20 Divide each side by '2'. c = 10 Simplifying c = 10
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