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Simplifying 5c + -4(2c + 1) = 8c + 2 Reorder the terms: 5c + -4(1 + 2c) = 8c + 2 5c + (1 * -4 + 2c * -4) = 8c + 2 5c + (-4 + -8c) = 8c + 2 Reorder the terms: -4 + 5c + -8c = 8c + 2 Combine like terms: 5c + -8c = -3c -4 + -3c = 8c + 2 Reorder the terms: -4 + -3c = 2 + 8c Solving -4 + -3c = 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. -4 + -3c + -8c = 2 + 8c + -8c Combine like terms: -3c + -8c = -11c -4 + -11c = 2 + 8c + -8c Combine like terms: 8c + -8c = 0 -4 + -11c = 2 + 0 -4 + -11c = 2 Add '4' to each side of the equation. -4 + 4 + -11c = 2 + 4 Combine like terms: -4 + 4 = 0 0 + -11c = 2 + 4 -11c = 2 + 4 Combine like terms: 2 + 4 = 6 -11c = 6 Divide each side by '-11'. c = -0.5454545455 Simplifying c = -0.5454545455
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