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Simplifying 3(-1k + -2) = -1k + -8 Reorder the terms: 3(-2 + -1k) = -1k + -8 (-2 * 3 + -1k * 3) = -1k + -8 (-6 + -3k) = -1k + -8 Reorder the terms: -6 + -3k = -8 + -1k Solving -6 + -3k = -8 + -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 + -3k + k = -8 + -1k + k Combine like terms: -3k + k = -2k -6 + -2k = -8 + -1k + k Combine like terms: -1k + k = 0 -6 + -2k = -8 + 0 -6 + -2k = -8 Add '6' to each side of the equation. -6 + 6 + -2k = -8 + 6 Combine like terms: -6 + 6 = 0 0 + -2k = -8 + 6 -2k = -8 + 6 Combine like terms: -8 + 6 = -2 -2k = -2 Divide each side by '-2'. k = 1 Simplifying k = 1
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