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Simplifying 8k + -11(x + -2) = -8 Reorder the terms: 8k + -11(-2 + x) = -8 8k + (-2 * -11 + x * -11) = -8 8k + (22 + -11x) = -8 Reorder the terms: 22 + 8k + -11x = -8 Solving 22 + 8k + -11x = -8 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + 8k + -22 + -11x = -8 + -22 Reorder the terms: 22 + -22 + 8k + -11x = -8 + -22 Combine like terms: 22 + -22 = 0 0 + 8k + -11x = -8 + -22 8k + -11x = -8 + -22 Combine like terms: -8 + -22 = -30 8k + -11x = -30 Add '11x' to each side of the equation. 8k + -11x + 11x = -30 + 11x Combine like terms: -11x + 11x = 0 8k + 0 = -30 + 11x 8k = -30 + 11x Divide each side by '8'. k = -3.75 + 1.375x Simplifying k = -3.75 + 1.375x
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