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Simplifying -11 + 5k = 7k + -2(8 + -1k) -11 + 5k = 7k + (8 * -2 + -1k * -2) -11 + 5k = 7k + (-16 + 2k) Reorder the terms: -11 + 5k = -16 + 7k + 2k Combine like terms: 7k + 2k = 9k -11 + 5k = -16 + 9k Solving -11 + 5k = -16 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. -11 + 5k + -9k = -16 + 9k + -9k Combine like terms: 5k + -9k = -4k -11 + -4k = -16 + 9k + -9k Combine like terms: 9k + -9k = 0 -11 + -4k = -16 + 0 -11 + -4k = -16 Add '11' to each side of the equation. -11 + 11 + -4k = -16 + 11 Combine like terms: -11 + 11 = 0 0 + -4k = -16 + 11 -4k = -16 + 11 Combine like terms: -16 + 11 = -5 -4k = -5 Divide each side by '-4'. k = 1.25 Simplifying k = 1.25
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