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Simplifying 2(-5 + -1k) = -3(k + -1) (-5 * 2 + -1k * 2) = -3(k + -1) (-10 + -2k) = -3(k + -1) Reorder the terms: -10 + -2k = -3(-1 + k) -10 + -2k = (-1 * -3 + k * -3) -10 + -2k = (3 + -3k) Solving -10 + -2k = 3 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. -10 + -2k + 3k = 3 + -3k + 3k Combine like terms: -2k + 3k = 1k -10 + 1k = 3 + -3k + 3k Combine like terms: -3k + 3k = 0 -10 + 1k = 3 + 0 -10 + 1k = 3 Add '10' to each side of the equation. -10 + 10 + 1k = 3 + 10 Combine like terms: -10 + 10 = 0 0 + 1k = 3 + 10 1k = 3 + 10 Combine like terms: 3 + 10 = 13 1k = 13 Divide each side by '1'. k = 13 Simplifying k = 13
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