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Simplifying -11 = -5(3k + 8) + 8(-5 + -1k) Reorder the terms: -11 = -5(8 + 3k) + 8(-5 + -1k) -11 = (8 * -5 + 3k * -5) + 8(-5 + -1k) -11 = (-40 + -15k) + 8(-5 + -1k) -11 = -40 + -15k + (-5 * 8 + -1k * 8) -11 = -40 + -15k + (-40 + -8k) Reorder the terms: -11 = -40 + -40 + -15k + -8k Combine like terms: -40 + -40 = -80 -11 = -80 + -15k + -8k Combine like terms: -15k + -8k = -23k -11 = -80 + -23k Solving -11 = -80 + -23k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '23k' to each side of the equation. -11 + 23k = -80 + -23k + 23k Combine like terms: -23k + 23k = 0 -11 + 23k = -80 + 0 -11 + 23k = -80 Add '11' to each side of the equation. -11 + 11 + 23k = -80 + 11 Combine like terms: -11 + 11 = 0 0 + 23k = -80 + 11 23k = -80 + 11 Combine like terms: -80 + 11 = -69 23k = -69 Divide each side by '23'. k = -3 Simplifying k = -3
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