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Simplifying 18 + 6k = 2(k + -4) + -6 Reorder the terms: 18 + 6k = 2(-4 + k) + -6 18 + 6k = (-4 * 2 + k * 2) + -6 18 + 6k = (-8 + 2k) + -6 Reorder the terms: 18 + 6k = -8 + -6 + 2k Combine like terms: -8 + -6 = -14 18 + 6k = -14 + 2k Solving 18 + 6k = -14 + 2k 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. 18 + 6k + -2k = -14 + 2k + -2k Combine like terms: 6k + -2k = 4k 18 + 4k = -14 + 2k + -2k Combine like terms: 2k + -2k = 0 18 + 4k = -14 + 0 18 + 4k = -14 Add '-18' to each side of the equation. 18 + -18 + 4k = -14 + -18 Combine like terms: 18 + -18 = 0 0 + 4k = -14 + -18 4k = -14 + -18 Combine like terms: -14 + -18 = -32 4k = -32 Divide each side by '4'. k = -8 Simplifying k = -8
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