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Simplifying 2(4k + -3) + -8 = 4 + 2x Reorder the terms: 2(-3 + 4k) + -8 = 4 + 2x (-3 * 2 + 4k * 2) + -8 = 4 + 2x (-6 + 8k) + -8 = 4 + 2x Reorder the terms: -6 + -8 + 8k = 4 + 2x Combine like terms: -6 + -8 = -14 -14 + 8k = 4 + 2x Solving -14 + 8k = 4 + 2x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 8k = 4 + 14 + 2x Combine like terms: -14 + 14 = 0 0 + 8k = 4 + 14 + 2x 8k = 4 + 14 + 2x Combine like terms: 4 + 14 = 18 8k = 18 + 2x Divide each side by '8'. k = 2.25 + 0.25x Simplifying k = 2.25 + 0.25x
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