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