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Simplifying -2 + 5(-8 + 5k) = -192 -2 + (-8 * 5 + 5k * 5) = -192 -2 + (-40 + 25k) = -192 Combine like terms: -2 + -40 = -42 -42 + 25k = -192 Solving -42 + 25k = -192 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 25k = -192 + 42 Combine like terms: -42 + 42 = 0 0 + 25k = -192 + 42 25k = -192 + 42 Combine like terms: -192 + 42 = -150 25k = -150 Divide each side by '25'. k = -6 Simplifying k = -6
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