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Simplifying -5(1 + 5k) = -105 (1 * -5 + 5k * -5) = -105 (-5 + -25k) = -105 Solving -5 + -25k = -105 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -25k = -105 + 5 Combine like terms: -5 + 5 = 0 0 + -25k = -105 + 5 -25k = -105 + 5 Combine like terms: -105 + 5 = -100 -25k = -100 Divide each side by '-25'. k = 4 Simplifying k = 4
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