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Simplifying -8(-6k + 20) = 20k + 19k + 20 Reorder the terms: -8(20 + -6k) = 20k + 19k + 20 (20 * -8 + -6k * -8) = 20k + 19k + 20 (-160 + 48k) = 20k + 19k + 20 Reorder the terms: -160 + 48k = 20 + 20k + 19k Combine like terms: 20k + 19k = 39k -160 + 48k = 20 + 39k Solving -160 + 48k = 20 + 39k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-39k' to each side of the equation. -160 + 48k + -39k = 20 + 39k + -39k Combine like terms: 48k + -39k = 9k -160 + 9k = 20 + 39k + -39k Combine like terms: 39k + -39k = 0 -160 + 9k = 20 + 0 -160 + 9k = 20 Add '160' to each side of the equation. -160 + 160 + 9k = 20 + 160 Combine like terms: -160 + 160 = 0 0 + 9k = 20 + 160 9k = 20 + 160 Combine like terms: 20 + 160 = 180 9k = 180 Divide each side by '9'. k = 20 Simplifying k = 20
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