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Simplifying 5(2c + -1) + -1 = 8c + 2 Reorder the terms: 5(-1 + 2c) + -1 = 8c + 2 (-1 * 5 + 2c * 5) + -1 = 8c + 2 (-5 + 10c) + -1 = 8c + 2 Reorder the terms: -5 + -1 + 10c = 8c + 2 Combine like terms: -5 + -1 = -6 -6 + 10c = 8c + 2 Reorder the terms: -6 + 10c = 2 + 8c Solving -6 + 10c = 2 + 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. -6 + 10c + -8c = 2 + 8c + -8c Combine like terms: 10c + -8c = 2c -6 + 2c = 2 + 8c + -8c Combine like terms: 8c + -8c = 0 -6 + 2c = 2 + 0 -6 + 2c = 2 Add '6' to each side of the equation. -6 + 6 + 2c = 2 + 6 Combine like terms: -6 + 6 = 0 0 + 2c = 2 + 6 2c = 2 + 6 Combine like terms: 2 + 6 = 8 2c = 8 Divide each side by '2'. c = 4 Simplifying c = 4
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