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Simplifying 50k + -15 = 5(-1k + -8) Reorder the terms: -15 + 50k = 5(-1k + -8) Reorder the terms: -15 + 50k = 5(-8 + -1k) -15 + 50k = (-8 * 5 + -1k * 5) -15 + 50k = (-40 + -5k) Solving -15 + 50k = -40 + -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. -15 + 50k + 5k = -40 + -5k + 5k Combine like terms: 50k + 5k = 55k -15 + 55k = -40 + -5k + 5k Combine like terms: -5k + 5k = 0 -15 + 55k = -40 + 0 -15 + 55k = -40 Add '15' to each side of the equation. -15 + 15 + 55k = -40 + 15 Combine like terms: -15 + 15 = 0 0 + 55k = -40 + 15 55k = -40 + 15 Combine like terms: -40 + 15 = -25 55k = -25 Divide each side by '55'. k = -0.4545454545 Simplifying k = -0.4545454545
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