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Simplifying 4k + 12 + -2k + -6 = -3x + 6 + 5x + 8 Reorder the terms: 12 + -6 + 4k + -2k = -3x + 6 + 5x + 8 Combine like terms: 12 + -6 = 6 6 + 4k + -2k = -3x + 6 + 5x + 8 Combine like terms: 4k + -2k = 2k 6 + 2k = -3x + 6 + 5x + 8 Reorder the terms: 6 + 2k = 6 + 8 + -3x + 5x Combine like terms: 6 + 8 = 14 6 + 2k = 14 + -3x + 5x Combine like terms: -3x + 5x = 2x 6 + 2k = 14 + 2x Solving 6 + 2k = 14 + 2x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 2k = 14 + -6 + 2x Combine like terms: 6 + -6 = 0 0 + 2k = 14 + -6 + 2x 2k = 14 + -6 + 2x Combine like terms: 14 + -6 = 8 2k = 8 + 2x Divide each side by '2'. k = 4 + x Simplifying k = 4 + x
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