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Simplifying 163 = 4k + 3(1 + -8k) 163 = 4k + (1 * 3 + -8k * 3) 163 = 4k + (3 + -24k) Reorder the terms: 163 = 3 + 4k + -24k Combine like terms: 4k + -24k = -20k 163 = 3 + -20k Solving 163 = 3 + -20k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '20k' to each side of the equation. 163 + 20k = 3 + -20k + 20k Combine like terms: -20k + 20k = 0 163 + 20k = 3 + 0 163 + 20k = 3 Add '-163' to each side of the equation. 163 + -163 + 20k = 3 + -163 Combine like terms: 163 + -163 = 0 0 + 20k = 3 + -163 20k = 3 + -163 Combine like terms: 3 + -163 = -160 20k = -160 Divide each side by '20'. k = -8 Simplifying k = -8
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