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Simplifying -10(1 + -2k) = -5(k + -3) (1 * -10 + -2k * -10) = -5(k + -3) (-10 + 20k) = -5(k + -3) Reorder the terms: -10 + 20k = -5(-3 + k) -10 + 20k = (-3 * -5 + k * -5) -10 + 20k = (15 + -5k) Solving -10 + 20k = 15 + -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. -10 + 20k + 5k = 15 + -5k + 5k Combine like terms: 20k + 5k = 25k -10 + 25k = 15 + -5k + 5k Combine like terms: -5k + 5k = 0 -10 + 25k = 15 + 0 -10 + 25k = 15 Add '10' to each side of the equation. -10 + 10 + 25k = 15 + 10 Combine like terms: -10 + 10 = 0 0 + 25k = 15 + 10 25k = 15 + 10 Combine like terms: 15 + 10 = 25 25k = 25 Divide each side by '25'. k = 1 Simplifying k = 1
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