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Simplifying -8(-1 + -1k) + -3(7k + -4) = -5k + -4k (-1 * -8 + -1k * -8) + -3(7k + -4) = -5k + -4k (8 + 8k) + -3(7k + -4) = -5k + -4k Reorder the terms: 8 + 8k + -3(-4 + 7k) = -5k + -4k 8 + 8k + (-4 * -3 + 7k * -3) = -5k + -4k 8 + 8k + (12 + -21k) = -5k + -4k Reorder the terms: 8 + 12 + 8k + -21k = -5k + -4k Combine like terms: 8 + 12 = 20 20 + 8k + -21k = -5k + -4k Combine like terms: 8k + -21k = -13k 20 + -13k = -5k + -4k Combine like terms: -5k + -4k = -9k 20 + -13k = -9k Solving 20 + -13k = -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. 20 + -13k + 9k = -9k + 9k Combine like terms: -13k + 9k = -4k 20 + -4k = -9k + 9k Combine like terms: -9k + 9k = 0 20 + -4k = 0 Add '-20' to each side of the equation. 20 + -20 + -4k = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -4k = 0 + -20 -4k = 0 + -20 Combine like terms: 0 + -20 = -20 -4k = -20 Divide each side by '-4'. k = 5 Simplifying k = 5
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