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Simplifying 2c + -1(3c + 6) = 2c + 8 Reorder the terms: 2c + -1(6 + 3c) = 2c + 8 2c + (6 * -1 + 3c * -1) = 2c + 8 2c + (-6 + -3c) = 2c + 8 Reorder the terms: -6 + 2c + -3c = 2c + 8 Combine like terms: 2c + -3c = -1c -6 + -1c = 2c + 8 Reorder the terms: -6 + -1c = 8 + 2c Solving -6 + -1c = 8 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. -6 + -1c + -2c = 8 + 2c + -2c Combine like terms: -1c + -2c = -3c -6 + -3c = 8 + 2c + -2c Combine like terms: 2c + -2c = 0 -6 + -3c = 8 + 0 -6 + -3c = 8 Add '6' to each side of the equation. -6 + 6 + -3c = 8 + 6 Combine like terms: -6 + 6 = 0 0 + -3c = 8 + 6 -3c = 8 + 6 Combine like terms: 8 + 6 = 14 -3c = 14 Divide each side by '-3'. c = -4.666666667 Simplifying c = -4.666666667
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