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Simplifying 2(5c + -1) + -6 = 8c + 8 Reorder the terms: 2(-1 + 5c) + -6 = 8c + 8 (-1 * 2 + 5c * 2) + -6 = 8c + 8 (-2 + 10c) + -6 = 8c + 8 Reorder the terms: -2 + -6 + 10c = 8c + 8 Combine like terms: -2 + -6 = -8 -8 + 10c = 8c + 8 Reorder the terms: -8 + 10c = 8 + 8c Solving -8 + 10c = 8 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. -8 + 10c + -8c = 8 + 8c + -8c Combine like terms: 10c + -8c = 2c -8 + 2c = 8 + 8c + -8c Combine like terms: 8c + -8c = 0 -8 + 2c = 8 + 0 -8 + 2c = 8 Add '8' to each side of the equation. -8 + 8 + 2c = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 2c = 8 + 8 2c = 8 + 8 Combine like terms: 8 + 8 = 16 2c = 16 Divide each side by '2'. c = 8 Simplifying c = 8
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