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Simplifying -105 = -5(5k + 6) Reorder the terms: -105 = -5(6 + 5k) -105 = (6 * -5 + 5k * -5) -105 = (-30 + -25k) Solving -105 = -30 + -25k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '25k' to each side of the equation. -105 + 25k = -30 + -25k + 25k Combine like terms: -25k + 25k = 0 -105 + 25k = -30 + 0 -105 + 25k = -30 Add '105' to each side of the equation. -105 + 105 + 25k = -30 + 105 Combine like terms: -105 + 105 = 0 0 + 25k = -30 + 105 25k = -30 + 105 Combine like terms: -30 + 105 = 75 25k = 75 Divide each side by '25'. k = 3 Simplifying k = 3
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