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Simplifying -1(c + 2) + 2c = 6(2c + -1) Reorder the terms: -1(2 + c) + 2c = 6(2c + -1) (2 * -1 + c * -1) + 2c = 6(2c + -1) (-2 + -1c) + 2c = 6(2c + -1) Combine like terms: -1c + 2c = 1c -2 + 1c = 6(2c + -1) Reorder the terms: -2 + 1c = 6(-1 + 2c) -2 + 1c = (-1 * 6 + 2c * 6) -2 + 1c = (-6 + 12c) Solving -2 + 1c = -6 + 12c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12c' to each side of the equation. -2 + 1c + -12c = -6 + 12c + -12c Combine like terms: 1c + -12c = -11c -2 + -11c = -6 + 12c + -12c Combine like terms: 12c + -12c = 0 -2 + -11c = -6 + 0 -2 + -11c = -6 Add '2' to each side of the equation. -2 + 2 + -11c = -6 + 2 Combine like terms: -2 + 2 = 0 0 + -11c = -6 + 2 -11c = -6 + 2 Combine like terms: -6 + 2 = -4 -11c = -4 Divide each side by '-11'. c = 0.3636363636 Simplifying c = 0.3636363636
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