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Simplifying -4k + 2(5k + -6) = 3x + 1 Reorder the terms: -4k + 2(-6 + 5k) = 3x + 1 -4k + (-6 * 2 + 5k * 2) = 3x + 1 -4k + (-12 + 10k) = 3x + 1 Reorder the terms: -12 + -4k + 10k = 3x + 1 Combine like terms: -4k + 10k = 6k -12 + 6k = 3x + 1 Reorder the terms: -12 + 6k = 1 + 3x Solving -12 + 6k = 1 + 3x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 6k = 1 + 12 + 3x Combine like terms: -12 + 12 = 0 0 + 6k = 1 + 12 + 3x 6k = 1 + 12 + 3x Combine like terms: 1 + 12 = 13 6k = 13 + 3x Divide each side by '6'. k = 2.166666667 + 0.5x Simplifying k = 2.166666667 + 0.5x
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