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Simplifying 6 + 2(k + -8) = -6 + 4k Reorder the terms: 6 + 2(-8 + k) = -6 + 4k 6 + (-8 * 2 + k * 2) = -6 + 4k 6 + (-16 + 2k) = -6 + 4k Combine like terms: 6 + -16 = -10 -10 + 2k = -6 + 4k Solving -10 + 2k = -6 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. -10 + 2k + -4k = -6 + 4k + -4k Combine like terms: 2k + -4k = -2k -10 + -2k = -6 + 4k + -4k Combine like terms: 4k + -4k = 0 -10 + -2k = -6 + 0 -10 + -2k = -6 Add '10' to each side of the equation. -10 + 10 + -2k = -6 + 10 Combine like terms: -10 + 10 = 0 0 + -2k = -6 + 10 -2k = -6 + 10 Combine like terms: -6 + 10 = 4 -2k = 4 Divide each side by '-2'. k = -2 Simplifying k = -2
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