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Simplifying 3(k + -6) + -1(-3k + -8) = 5k Reorder the terms: 3(-6 + k) + -1(-3k + -8) = 5k (-6 * 3 + k * 3) + -1(-3k + -8) = 5k (-18 + 3k) + -1(-3k + -8) = 5k Reorder the terms: -18 + 3k + -1(-8 + -3k) = 5k -18 + 3k + (-8 * -1 + -3k * -1) = 5k -18 + 3k + (8 + 3k) = 5k Reorder the terms: -18 + 8 + 3k + 3k = 5k Combine like terms: -18 + 8 = -10 -10 + 3k + 3k = 5k Combine like terms: 3k + 3k = 6k -10 + 6k = 5k Solving -10 + 6k = 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. -10 + 6k + -5k = 5k + -5k Combine like terms: 6k + -5k = 1k -10 + 1k = 5k + -5k Combine like terms: 5k + -5k = 0 -10 + 1k = 0 Add '10' to each side of the equation. -10 + 10 + 1k = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 1k = 0 + 10 1k = 0 + 10 Combine like terms: 0 + 10 = 10 1k = 10 Divide each side by '1'. k = 10 Simplifying k = 10
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