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Simplifying 5(-4 + -2k) = -2(1 + -4k) (-4 * 5 + -2k * 5) = -2(1 + -4k) (-20 + -10k) = -2(1 + -4k) -20 + -10k = (1 * -2 + -4k * -2) -20 + -10k = (-2 + 8k) Solving -20 + -10k = -2 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. -20 + -10k + -8k = -2 + 8k + -8k Combine like terms: -10k + -8k = -18k -20 + -18k = -2 + 8k + -8k Combine like terms: 8k + -8k = 0 -20 + -18k = -2 + 0 -20 + -18k = -2 Add '20' to each side of the equation. -20 + 20 + -18k = -2 + 20 Combine like terms: -20 + 20 = 0 0 + -18k = -2 + 20 -18k = -2 + 20 Combine like terms: -2 + 20 = 18 -18k = 18 Divide each side by '-18'. k = -1 Simplifying k = -1
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