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Simplifying 6k + -1(k + -3x) + -6k + -1(k + -3) = 0 6k + (k * -1 + -3x * -1) + -6k + -1(k + -3) = 0 6k + (-1k + 3x) + -6k + -1(k + -3) = 0 Reorder the terms: 6k + -1k + 3x + -6k + -1(-3 + k) = 0 6k + -1k + 3x + -6k + (-3 * -1 + k * -1) = 0 6k + -1k + 3x + -6k + (3 + -1k) = 0 Reorder the terms: 3 + 6k + -1k + -6k + -1k + 3x = 0 Combine like terms: 6k + -1k = 5k 3 + 5k + -6k + -1k + 3x = 0 Combine like terms: 5k + -6k = -1k 3 + -1k + -1k + 3x = 0 Combine like terms: -1k + -1k = -2k 3 + -2k + 3x = 0 Solving 3 + -2k + 3x = 0 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 + -2k + -3 + 3x = 0 + -3 Reorder the terms: 3 + -3 + -2k + 3x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2k + 3x = 0 + -3 -2k + 3x = 0 + -3 Combine like terms: 0 + -3 = -3 -2k + 3x = -3 Add '-3x' to each side of the equation. -2k + 3x + -3x = -3 + -3x Combine like terms: 3x + -3x = 0 -2k + 0 = -3 + -3x -2k = -3 + -3x Divide each side by '-2'. k = 1.5 + 1.5x Simplifying k = 1.5 + 1.5x
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