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Simplifying 8(k + -4) + -20 = 4(k + 6) Reorder the terms: 8(-4 + k) + -20 = 4(k + 6) (-4 * 8 + k * 8) + -20 = 4(k + 6) (-32 + 8k) + -20 = 4(k + 6) Reorder the terms: -32 + -20 + 8k = 4(k + 6) Combine like terms: -32 + -20 = -52 -52 + 8k = 4(k + 6) Reorder the terms: -52 + 8k = 4(6 + k) -52 + 8k = (6 * 4 + k * 4) -52 + 8k = (24 + 4k) Solving -52 + 8k = 24 + 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. -52 + 8k + -4k = 24 + 4k + -4k Combine like terms: 8k + -4k = 4k -52 + 4k = 24 + 4k + -4k Combine like terms: 4k + -4k = 0 -52 + 4k = 24 + 0 -52 + 4k = 24 Add '52' to each side of the equation. -52 + 52 + 4k = 24 + 52 Combine like terms: -52 + 52 = 0 0 + 4k = 24 + 52 4k = 24 + 52 Combine like terms: 24 + 52 = 76 4k = 76 Divide each side by '4'. k = 19 Simplifying k = 19
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