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Simplifying -8(c + 1) = 2(1 + -5c) + 2 Reorder the terms: -8(1 + c) = 2(1 + -5c) + 2 (1 * -8 + c * -8) = 2(1 + -5c) + 2 (-8 + -8c) = 2(1 + -5c) + 2 -8 + -8c = (1 * 2 + -5c * 2) + 2 -8 + -8c = (2 + -10c) + 2 Reorder the terms: -8 + -8c = 2 + 2 + -10c Combine like terms: 2 + 2 = 4 -8 + -8c = 4 + -10c Solving -8 + -8c = 4 + -10c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '10c' to each side of the equation. -8 + -8c + 10c = 4 + -10c + 10c Combine like terms: -8c + 10c = 2c -8 + 2c = 4 + -10c + 10c Combine like terms: -10c + 10c = 0 -8 + 2c = 4 + 0 -8 + 2c = 4 Add '8' to each side of the equation. -8 + 8 + 2c = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 2c = 4 + 8 2c = 4 + 8 Combine like terms: 4 + 8 = 12 2c = 12 Divide each side by '2'. c = 6 Simplifying c = 6
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