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Simplifying 2(11 + -4c) = 11(c + -8) (11 * 2 + -4c * 2) = 11(c + -8) (22 + -8c) = 11(c + -8) Reorder the terms: 22 + -8c = 11(-8 + c) 22 + -8c = (-8 * 11 + c * 11) 22 + -8c = (-88 + 11c) Solving 22 + -8c = -88 + 11c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-11c' to each side of the equation. 22 + -8c + -11c = -88 + 11c + -11c Combine like terms: -8c + -11c = -19c 22 + -19c = -88 + 11c + -11c Combine like terms: 11c + -11c = 0 22 + -19c = -88 + 0 22 + -19c = -88 Add '-22' to each side of the equation. 22 + -22 + -19c = -88 + -22 Combine like terms: 22 + -22 = 0 0 + -19c = -88 + -22 -19c = -88 + -22 Combine like terms: -88 + -22 = -110 -19c = -110 Divide each side by '-19'. c = 5.789473684 Simplifying c = 5.789473684
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