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Simplifying 2(3k + -4) = 5(k + 6) Reorder the terms: 2(-4 + 3k) = 5(k + 6) (-4 * 2 + 3k * 2) = 5(k + 6) (-8 + 6k) = 5(k + 6) Reorder the terms: -8 + 6k = 5(6 + k) -8 + 6k = (6 * 5 + k * 5) -8 + 6k = (30 + 5k) Solving -8 + 6k = 30 + 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. -8 + 6k + -5k = 30 + 5k + -5k Combine like terms: 6k + -5k = 1k -8 + 1k = 30 + 5k + -5k Combine like terms: 5k + -5k = 0 -8 + 1k = 30 + 0 -8 + 1k = 30 Add '8' to each side of the equation. -8 + 8 + 1k = 30 + 8 Combine like terms: -8 + 8 = 0 0 + 1k = 30 + 8 1k = 30 + 8 Combine like terms: 30 + 8 = 38 1k = 38 Divide each side by '1'. k = 38 Simplifying k = 38
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