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Simplifying x + -3y + -6 + -1k = -2x + 3y + -4k Reorder the terms: -6 + -1k + x + -3y = -2x + 3y + -4k Reorder the terms: -6 + -1k + x + -3y = -4k + -2x + 3y Solving -6 + -1k + x + -3y = -4k + -2x + 3y Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. -6 + -1k + x + 4k + -3y = -4k + -2x + 4k + 3y Reorder the terms: -6 + -1k + 4k + x + -3y = -4k + -2x + 4k + 3y Combine like terms: -1k + 4k = 3k -6 + 3k + x + -3y = -4k + -2x + 4k + 3y Reorder the terms: -6 + 3k + x + -3y = -4k + 4k + -2x + 3y Combine like terms: -4k + 4k = 0 -6 + 3k + x + -3y = 0 + -2x + 3y -6 + 3k + x + -3y = -2x + 3y Add '6' to each side of the equation. -6 + 3k + x + 6 + -3y = -2x + 6 + 3y Reorder the terms: -6 + 6 + 3k + x + -3y = -2x + 6 + 3y Combine like terms: -6 + 6 = 0 0 + 3k + x + -3y = -2x + 6 + 3y 3k + x + -3y = -2x + 6 + 3y Reorder the terms: 3k + x + -3y = 6 + -2x + 3y Add '-1x' to each side of the equation. 3k + x + -1x + -3y = 6 + -2x + -1x + 3y Combine like terms: x + -1x = 0 3k + 0 + -3y = 6 + -2x + -1x + 3y 3k + -3y = 6 + -2x + -1x + 3y Combine like terms: -2x + -1x = -3x 3k + -3y = 6 + -3x + 3y Add '3y' to each side of the equation. 3k + -3y + 3y = 6 + -3x + 3y + 3y Combine like terms: -3y + 3y = 0 3k + 0 = 6 + -3x + 3y + 3y 3k = 6 + -3x + 3y + 3y Combine like terms: 3y + 3y = 6y 3k = 6 + -3x + 6y Divide each side by '3'. k = 2 + -1x + 2y Simplifying k = 2 + -1x + 2y
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