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Simplifying -3(3k + -2) = -10 + -5k Reorder the terms: -3(-2 + 3k) = -10 + -5k (-2 * -3 + 3k * -3) = -10 + -5k (6 + -9k) = -10 + -5k Solving 6 + -9k = -10 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. 6 + -9k + 5k = -10 + -5k + 5k Combine like terms: -9k + 5k = -4k 6 + -4k = -10 + -5k + 5k Combine like terms: -5k + 5k = 0 6 + -4k = -10 + 0 6 + -4k = -10 Add '-6' to each side of the equation. 6 + -6 + -4k = -10 + -6 Combine like terms: 6 + -6 = 0 0 + -4k = -10 + -6 -4k = -10 + -6 Combine like terms: -10 + -6 = -16 -4k = -16 Divide each side by '-4'. k = 4 Simplifying k = 4
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