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Simplifying 5(k + -4) + -4k = 8 + -5(k + 8) Reorder the terms: 5(-4 + k) + -4k = 8 + -5(k + 8) (-4 * 5 + k * 5) + -4k = 8 + -5(k + 8) (-20 + 5k) + -4k = 8 + -5(k + 8) Combine like terms: 5k + -4k = 1k -20 + 1k = 8 + -5(k + 8) Reorder the terms: -20 + 1k = 8 + -5(8 + k) -20 + 1k = 8 + (8 * -5 + k * -5) -20 + 1k = 8 + (-40 + -5k) Combine like terms: 8 + -40 = -32 -20 + 1k = -32 + -5k Solving -20 + 1k = -32 + -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. -20 + 1k + 5k = -32 + -5k + 5k Combine like terms: 1k + 5k = 6k -20 + 6k = -32 + -5k + 5k Combine like terms: -5k + 5k = 0 -20 + 6k = -32 + 0 -20 + 6k = -32 Add '20' to each side of the equation. -20 + 20 + 6k = -32 + 20 Combine like terms: -20 + 20 = 0 0 + 6k = -32 + 20 6k = -32 + 20 Combine like terms: -32 + 20 = -12 6k = -12 Divide each side by '6'. k = -2 Simplifying k = -2
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