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Simplifying 2c + -1(c + 6) = 4(c + 2) Reorder the terms: 2c + -1(6 + c) = 4(c + 2) 2c + (6 * -1 + c * -1) = 4(c + 2) 2c + (-6 + -1c) = 4(c + 2) Reorder the terms: -6 + 2c + -1c = 4(c + 2) Combine like terms: 2c + -1c = 1c -6 + 1c = 4(c + 2) Reorder the terms: -6 + 1c = 4(2 + c) -6 + 1c = (2 * 4 + c * 4) -6 + 1c = (8 + 4c) Solving -6 + 1c = 8 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. -6 + 1c + -4c = 8 + 4c + -4c Combine like terms: 1c + -4c = -3c -6 + -3c = 8 + 4c + -4c Combine like terms: 4c + -4c = 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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