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Simplifying 6(k + -1) + -1(5x + -9) = -6 Reorder the terms: 6(-1 + k) + -1(5x + -9) = -6 (-1 * 6 + k * 6) + -1(5x + -9) = -6 (-6 + 6k) + -1(5x + -9) = -6 Reorder the terms: -6 + 6k + -1(-9 + 5x) = -6 -6 + 6k + (-9 * -1 + 5x * -1) = -6 -6 + 6k + (9 + -5x) = -6 Reorder the terms: -6 + 9 + 6k + -5x = -6 Combine like terms: -6 + 9 = 3 3 + 6k + -5x = -6 Solving 3 + 6k + -5x = -6 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 6k + -3 + -5x = -6 + -3 Reorder the terms: 3 + -3 + 6k + -5x = -6 + -3 Combine like terms: 3 + -3 = 0 0 + 6k + -5x = -6 + -3 6k + -5x = -6 + -3 Combine like terms: -6 + -3 = -9 6k + -5x = -9 Add '5x' to each side of the equation. 6k + -5x + 5x = -9 + 5x Combine like terms: -5x + 5x = 0 6k + 0 = -9 + 5x 6k = -9 + 5x Divide each side by '6'. k = -1.5 + 0.8333333333x Simplifying k = -1.5 + 0.8333333333x
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