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Simplifying -1(6 + 2k) = -1(k + -5) + -4 (6 * -1 + 2k * -1) = -1(k + -5) + -4 (-6 + -2k) = -1(k + -5) + -4 Reorder the terms: -6 + -2k = -1(-5 + k) + -4 -6 + -2k = (-5 * -1 + k * -1) + -4 -6 + -2k = (5 + -1k) + -4 Reorder the terms: -6 + -2k = 5 + -4 + -1k Combine like terms: 5 + -4 = 1 -6 + -2k = 1 + -1k Solving -6 + -2k = 1 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -6 + -2k + k = 1 + -1k + k Combine like terms: -2k + k = -1k -6 + -1k = 1 + -1k + k Combine like terms: -1k + k = 0 -6 + -1k = 1 + 0 -6 + -1k = 1 Add '6' to each side of the equation. -6 + 6 + -1k = 1 + 6 Combine like terms: -6 + 6 = 0 0 + -1k = 1 + 6 -1k = 1 + 6 Combine like terms: 1 + 6 = 7 -1k = 7 Divide each side by '-1'. k = -7 Simplifying k = -7
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