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Simplifying 5(4k + 2) = 170 Reorder the terms: 5(2 + 4k) = 170 (2 * 5 + 4k * 5) = 170 (10 + 20k) = 170 Solving 10 + 20k = 170 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 20k = 170 + -10 Combine like terms: 10 + -10 = 0 0 + 20k = 170 + -10 20k = 170 + -10 Combine like terms: 170 + -10 = 160 20k = 160 Divide each side by '20'. k = 8 Simplifying k = 8
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