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Simplifying 2c + -1(1c + 6) = 4(1c + -2) Reorder the terms: 2c + -1(6 + 1c) = 4(1c + -2) 2c + (6 * -1 + 1c * -1) = 4(1c + -2) 2c + (-6 + -1c) = 4(1c + -2) Reorder the terms: -6 + 2c + -1c = 4(1c + -2) Combine like terms: 2c + -1c = 1c -6 + 1c = 4(1c + -2) Reorder the terms: -6 + 1c = 4(-2 + 1c) -6 + 1c = (-2 * 4 + 1c * 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 = -2 -3c = -2 Divide each side by '-3'. c = 0.6666666667 Simplifying c = 0.6666666667
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