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Simplifying -5k + 2(1 + -4k) = 80 -5k + (1 * 2 + -4k * 2) = 80 -5k + (2 + -8k) = 80 Reorder the terms: 2 + -5k + -8k = 80 Combine like terms: -5k + -8k = -13k 2 + -13k = 80 Solving 2 + -13k = 80 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -13k = 80 + -2 Combine like terms: 2 + -2 = 0 0 + -13k = 80 + -2 -13k = 80 + -2 Combine like terms: 80 + -2 = 78 -13k = 78 Divide each side by '-13'. k = -6 Simplifying k = -6
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