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Simplifying -3(-5 + -5k) = -105 (-5 * -3 + -5k * -3) = -105 (15 + 15k) = -105 Solving 15 + 15k = -105 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 15k = -105 + -15 Combine like terms: 15 + -15 = 0 0 + 15k = -105 + -15 15k = -105 + -15 Combine like terms: -105 + -15 = -120 15k = -120 Divide each side by '15'. k = -8 Simplifying k = -8
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