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Simplifying -34 + 8k = 2k + -8(1 + -4x) -34 + 8k = 2k + (1 * -8 + -4x * -8) -34 + 8k = 2k + (-8 + 32x) Reorder the terms: -34 + 8k = -8 + 2k + 32x Solving -34 + 8k = -8 + 2k + 32x 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. -34 + 8k + -2k = -8 + 2k + -2k + 32x Combine like terms: 8k + -2k = 6k -34 + 6k = -8 + 2k + -2k + 32x Combine like terms: 2k + -2k = 0 -34 + 6k = -8 + 0 + 32x -34 + 6k = -8 + 32x Add '34' to each side of the equation. -34 + 34 + 6k = -8 + 34 + 32x Combine like terms: -34 + 34 = 0 0 + 6k = -8 + 34 + 32x 6k = -8 + 34 + 32x Combine like terms: -8 + 34 = 26 6k = 26 + 32x Divide each side by '6'. k = 4.333333333 + 5.333333333x Simplifying k = 4.333333333 + 5.333333333x
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