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Simplifying -2k + 4(5 + -4k) = 110 -2k + (5 * 4 + -4k * 4) = 110 -2k + (20 + -16k) = 110 Reorder the terms: 20 + -2k + -16k = 110 Combine like terms: -2k + -16k = -18k 20 + -18k = 110 Solving 20 + -18k = 110 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -18k = 110 + -20 Combine like terms: 20 + -20 = 0 0 + -18k = 110 + -20 -18k = 110 + -20 Combine like terms: 110 + -20 = 90 -18k = 90 Divide each side by '-18'. k = -5 Simplifying k = -5
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