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Simplifying 4(-1k + -5) + -2 = -6 + -2k Reorder the terms: 4(-5 + -1k) + -2 = -6 + -2k (-5 * 4 + -1k * 4) + -2 = -6 + -2k (-20 + -4k) + -2 = -6 + -2k Reorder the terms: -20 + -2 + -4k = -6 + -2k Combine like terms: -20 + -2 = -22 -22 + -4k = -6 + -2k Solving -22 + -4k = -6 + -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. -22 + -4k + 2k = -6 + -2k + 2k Combine like terms: -4k + 2k = -2k -22 + -2k = -6 + -2k + 2k Combine like terms: -2k + 2k = 0 -22 + -2k = -6 + 0 -22 + -2k = -6 Add '22' to each side of the equation. -22 + 22 + -2k = -6 + 22 Combine like terms: -22 + 22 = 0 0 + -2k = -6 + 22 -2k = -6 + 22 Combine like terms: -6 + 22 = 16 -2k = 16 Divide each side by '-2'. k = -8 Simplifying k = -8
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