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Simplifying 20 + k = -7(5k + -8) Reorder the terms: 20 + k = -7(-8 + 5k) 20 + k = (-8 * -7 + 5k * -7) 20 + k = (56 + -35k) Solving 20 + k = 56 + -35k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '35k' to each side of the equation. 20 + k + 35k = 56 + -35k + 35k Combine like terms: k + 35k = 36k 20 + 36k = 56 + -35k + 35k Combine like terms: -35k + 35k = 0 20 + 36k = 56 + 0 20 + 36k = 56 Add '-20' to each side of the equation. 20 + -20 + 36k = 56 + -20 Combine like terms: 20 + -20 = 0 0 + 36k = 56 + -20 36k = 56 + -20 Combine like terms: 56 + -20 = 36 36k = 36 Divide each side by '36'. k = 1 Simplifying k = 1
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