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Simplifying (c + -8) * 11 = -2(11 + -4c) Reorder the terms: (-8 + c) * 11 = -2(11 + -4c) Reorder the terms for easier multiplication: 11(-8 + c) = -2(11 + -4c) (-8 * 11 + c * 11) = -2(11 + -4c) (-88 + 11c) = -2(11 + -4c) -88 + 11c = (11 * -2 + -4c * -2) -88 + 11c = (-22 + 8c) Solving -88 + 11c = -22 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. -88 + 11c + -8c = -22 + 8c + -8c Combine like terms: 11c + -8c = 3c -88 + 3c = -22 + 8c + -8c Combine like terms: 8c + -8c = 0 -88 + 3c = -22 + 0 -88 + 3c = -22 Add '88' to each side of the equation. -88 + 88 + 3c = -22 + 88 Combine like terms: -88 + 88 = 0 0 + 3c = -22 + 88 3c = -22 + 88 Combine like terms: -22 + 88 = 66 3c = 66 Divide each side by '3'. c = 22 Simplifying c = 22
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