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Simplifying -1(k + -2) = 3k + 10 Reorder the terms: -1(-2 + k) = 3k + 10 (-2 * -1 + k * -1) = 3k + 10 (2 + -1k) = 3k + 10 Reorder the terms: 2 + -1k = 10 + 3k Solving 2 + -1k = 10 + 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. 2 + -1k + -3k = 10 + 3k + -3k Combine like terms: -1k + -3k = -4k 2 + -4k = 10 + 3k + -3k Combine like terms: 3k + -3k = 0 2 + -4k = 10 + 0 2 + -4k = 10 Add '-2' to each side of the equation. 2 + -2 + -4k = 10 + -2 Combine like terms: 2 + -2 = 0 0 + -4k = 10 + -2 -4k = 10 + -2 Combine like terms: 10 + -2 = 8 -4k = 8 Divide each side by '-4'. k = -2 Simplifying k = -2
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