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Simplifying -3 + 3x + 11 + -5x + -2k + -1k = 0 Reorder the terms: -3 + 11 + -2k + -1k + 3x + -5x = 0 Combine like terms: -3 + 11 = 8 8 + -2k + -1k + 3x + -5x = 0 Combine like terms: -2k + -1k = -3k 8 + -3k + 3x + -5x = 0 Combine like terms: 3x + -5x = -2x 8 + -3k + -2x = 0 Solving 8 + -3k + -2x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -3k + -8 + -2x = 0 + -8 Reorder the terms: 8 + -8 + -3k + -2x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3k + -2x = 0 + -8 -3k + -2x = 0 + -8 Combine like terms: 0 + -8 = -8 -3k + -2x = -8 Add '2x' to each side of the equation. -3k + -2x + 2x = -8 + 2x Combine like terms: -2x + 2x = 0 -3k + 0 = -8 + 2x -3k = -8 + 2x Divide each side by '-3'. k = 2.666666667 + -0.6666666667x Simplifying k = 2.666666667 + -0.6666666667x
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