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Simplifying 2(10k + -2) = 2(9k + -5) Reorder the terms: 2(-2 + 10k) = 2(9k + -5) (-2 * 2 + 10k * 2) = 2(9k + -5) (-4 + 20k) = 2(9k + -5) Reorder the terms: -4 + 20k = 2(-5 + 9k) -4 + 20k = (-5 * 2 + 9k * 2) -4 + 20k = (-10 + 18k) Solving -4 + 20k = -10 + 18k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18k' to each side of the equation. -4 + 20k + -18k = -10 + 18k + -18k Combine like terms: 20k + -18k = 2k -4 + 2k = -10 + 18k + -18k Combine like terms: 18k + -18k = 0 -4 + 2k = -10 + 0 -4 + 2k = -10 Add '4' to each side of the equation. -4 + 4 + 2k = -10 + 4 Combine like terms: -4 + 4 = 0 0 + 2k = -10 + 4 2k = -10 + 4 Combine like terms: -10 + 4 = -6 2k = -6 Divide each side by '2'. k = -3 Simplifying k = -3
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