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Simplifying 6x + 8 + -13k + 10 = 4 + -6x + 4x Reorder the terms: 8 + 10 + -13k + 6x = 4 + -6x + 4x Combine like terms: 8 + 10 = 18 18 + -13k + 6x = 4 + -6x + 4x Combine like terms: -6x + 4x = -2x 18 + -13k + 6x = 4 + -2x Solving 18 + -13k + 6x = 4 + -2x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -13k + -18 + 6x = 4 + -18 + -2x Reorder the terms: 18 + -18 + -13k + 6x = 4 + -18 + -2x Combine like terms: 18 + -18 = 0 0 + -13k + 6x = 4 + -18 + -2x -13k + 6x = 4 + -18 + -2x Combine like terms: 4 + -18 = -14 -13k + 6x = -14 + -2x Add '-6x' to each side of the equation. -13k + 6x + -6x = -14 + -2x + -6x Combine like terms: 6x + -6x = 0 -13k + 0 = -14 + -2x + -6x -13k = -14 + -2x + -6x Combine like terms: -2x + -6x = -8x -13k = -14 + -8x Divide each side by '-13'. k = 1.076923077 + 0.6153846154x Simplifying k = 1.076923077 + 0.6153846154x
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