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Simplifying -9(k + -4) = -3(k + -10) Reorder the terms: -9(-4 + k) = -3(k + -10) (-4 * -9 + k * -9) = -3(k + -10) (36 + -9k) = -3(k + -10) Reorder the terms: 36 + -9k = -3(-10 + k) 36 + -9k = (-10 * -3 + k * -3) 36 + -9k = (30 + -3k) Solving 36 + -9k = 30 + -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. 36 + -9k + 3k = 30 + -3k + 3k Combine like terms: -9k + 3k = -6k 36 + -6k = 30 + -3k + 3k Combine like terms: -3k + 3k = 0 36 + -6k = 30 + 0 36 + -6k = 30 Add '-36' to each side of the equation. 36 + -36 + -6k = 30 + -36 Combine like terms: 36 + -36 = 0 0 + -6k = 30 + -36 -6k = 30 + -36 Combine like terms: 30 + -36 = -6 -6k = -6 Divide each side by '-6'. k = 1 Simplifying k = 1
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