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Simplifying -15x + 30k + 6 = 2k + 8x Reorder the terms: 6 + 30k + -15x = 2k + 8x Solving 6 + 30k + -15x = 2k + 8x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 6 + 30k + -2k + -15x = 2k + -2k + 8x Combine like terms: 30k + -2k = 28k 6 + 28k + -15x = 2k + -2k + 8x Combine like terms: 2k + -2k = 0 6 + 28k + -15x = 0 + 8x 6 + 28k + -15x = 8x Add '-6' to each side of the equation. 6 + 28k + -6 + -15x = -6 + 8x Reorder the terms: 6 + -6 + 28k + -15x = -6 + 8x Combine like terms: 6 + -6 = 0 0 + 28k + -15x = -6 + 8x 28k + -15x = -6 + 8x Add '15x' to each side of the equation. 28k + -15x + 15x = -6 + 8x + 15x Combine like terms: -15x + 15x = 0 28k + 0 = -6 + 8x + 15x 28k = -6 + 8x + 15x Combine like terms: 8x + 15x = 23x 28k = -6 + 23x Divide each side by '28'. k = -0.2142857143 + 0.8214285714x Simplifying k = -0.2142857143 + 0.8214285714x
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