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Simplifying -10 = 1 + -1(k + -9) Reorder the terms: -10 = 1 + -1(-9 + k) -10 = 1 + (-9 * -1 + k * -1) -10 = 1 + (9 + -1k) Combine like terms: 1 + 9 = 10 -10 = 10 + -1k Solving -10 = 10 + -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 = 10 + -1k + k Combine like terms: -1k + k = 0 -10 + k = 10 + 0 -10 + k = 10 Add '10' to each side of the equation. -10 + 10 + k = 10 + 10 Combine like terms: -10 + 10 = 0 0 + k = 10 + 10 k = 10 + 10 Combine like terms: 10 + 10 = 20 k = 20 Simplifying k = 20
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