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Simplifying -6(c + 2) + 2c = 6(2c + -1) Reorder the terms: -6(2 + c) + 2c = 6(2c + -1) (2 * -6 + c * -6) + 2c = 6(2c + -1) (-12 + -6c) + 2c = 6(2c + -1) Combine like terms: -6c + 2c = -4c -12 + -4c = 6(2c + -1) Reorder the terms: -12 + -4c = 6(-1 + 2c) -12 + -4c = (-1 * 6 + 2c * 6) -12 + -4c = (-6 + 12c) Solving -12 + -4c = -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. -12 + -4c + -12c = -6 + 12c + -12c Combine like terms: -4c + -12c = -16c -12 + -16c = -6 + 12c + -12c Combine like terms: 12c + -12c = 0 -12 + -16c = -6 + 0 -12 + -16c = -6 Add '12' to each side of the equation. -12 + 12 + -16c = -6 + 12 Combine like terms: -12 + 12 = 0 0 + -16c = -6 + 12 -16c = -6 + 12 Combine like terms: -6 + 12 = 6 -16c = 6 Divide each side by '-16'. c = -0.375 Simplifying c = -0.375
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