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Simplifying 6(k + -4) + -5k = 10 + -5(k + 8) Reorder the terms: 6(-4 + k) + -5k = 10 + -5(k + 8) (-4 * 6 + k * 6) + -5k = 10 + -5(k + 8) (-24 + 6k) + -5k = 10 + -5(k + 8) Combine like terms: 6k + -5k = 1k -24 + 1k = 10 + -5(k + 8) Reorder the terms: -24 + 1k = 10 + -5(8 + k) -24 + 1k = 10 + (8 * -5 + k * -5) -24 + 1k = 10 + (-40 + -5k) Combine like terms: 10 + -40 = -30 -24 + 1k = -30 + -5k Solving -24 + 1k = -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. -24 + 1k + 5k = -30 + -5k + 5k Combine like terms: 1k + 5k = 6k -24 + 6k = -30 + -5k + 5k Combine like terms: -5k + 5k = 0 -24 + 6k = -30 + 0 -24 + 6k = -30 Add '24' to each side of the equation. -24 + 24 + 6k = -30 + 24 Combine like terms: -24 + 24 = 0 0 + 6k = -30 + 24 6k = -30 + 24 Combine like terms: -30 + 24 = -6 6k = -6 Divide each side by '6'. k = -1 Simplifying k = -1
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