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Simplifying 3(2k + -4) = 2(2k + 4) Reorder the terms: 3(-4 + 2k) = 2(2k + 4) (-4 * 3 + 2k * 3) = 2(2k + 4) (-12 + 6k) = 2(2k + 4) Reorder the terms: -12 + 6k = 2(4 + 2k) -12 + 6k = (4 * 2 + 2k * 2) -12 + 6k = (8 + 4k) Solving -12 + 6k = 8 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. -12 + 6k + -4k = 8 + 4k + -4k Combine like terms: 6k + -4k = 2k -12 + 2k = 8 + 4k + -4k Combine like terms: 4k + -4k = 0 -12 + 2k = 8 + 0 -12 + 2k = 8 Add '12' to each side of the equation. -12 + 12 + 2k = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 2k = 8 + 12 2k = 8 + 12 Combine like terms: 8 + 12 = 20 2k = 20 Divide each side by '2'. k = 10 Simplifying k = 10
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