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Simplifying -10 = -1(k + -9) Reorder the terms: -10 = -1(-9 + k) -10 = (-9 * -1 + k * -1) -10 = (9 + -1k) Solving -10 = 9 + -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. -10 + k = 9 + -1k + k Combine like terms: -1k + k = 0 -10 + k = 9 + 0 -10 + k = 9 Add '10' to each side of the equation. -10 + 10 + k = 9 + 10 Combine like terms: -10 + 10 = 0 0 + k = 9 + 10 k = 9 + 10 Combine like terms: 9 + 10 = 19 k = 19 Simplifying k = 19
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