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Simplifying 3(k + -2) + -4k = 7 + -8(k + 5) Reorder the terms: 3(-2 + k) + -4k = 7 + -8(k + 5) (-2 * 3 + k * 3) + -4k = 7 + -8(k + 5) (-6 + 3k) + -4k = 7 + -8(k + 5) Combine like terms: 3k + -4k = -1k -6 + -1k = 7 + -8(k + 5) Reorder the terms: -6 + -1k = 7 + -8(5 + k) -6 + -1k = 7 + (5 * -8 + k * -8) -6 + -1k = 7 + (-40 + -8k) Combine like terms: 7 + -40 = -33 -6 + -1k = -33 + -8k Solving -6 + -1k = -33 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. -6 + -1k + 8k = -33 + -8k + 8k Combine like terms: -1k + 8k = 7k -6 + 7k = -33 + -8k + 8k Combine like terms: -8k + 8k = 0 -6 + 7k = -33 + 0 -6 + 7k = -33 Add '6' to each side of the equation. -6 + 6 + 7k = -33 + 6 Combine like terms: -6 + 6 = 0 0 + 7k = -33 + 6 7k = -33 + 6 Combine like terms: -33 + 6 = -27 7k = -27 Divide each side by '7'. k = -3.857142857 Simplifying k = -3.857142857
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