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Simplifying 38 + 2k = 5(1 + 7k) 38 + 2k = (1 * 5 + 7k * 5) 38 + 2k = (5 + 35k) Solving 38 + 2k = 5 + 35k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-35k' to each side of the equation. 38 + 2k + -35k = 5 + 35k + -35k Combine like terms: 2k + -35k = -33k 38 + -33k = 5 + 35k + -35k Combine like terms: 35k + -35k = 0 38 + -33k = 5 + 0 38 + -33k = 5 Add '-38' to each side of the equation. 38 + -38 + -33k = 5 + -38 Combine like terms: 38 + -38 = 0 0 + -33k = 5 + -38 -33k = 5 + -38 Combine like terms: 5 + -38 = -33 -33k = -33 Divide each side by '-33'. k = 1 Simplifying k = 1
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