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Simplifying 38 + 7k = 8(1 + 4k) 38 + 7k = (1 * 8 + 4k * 8) 38 + 7k = (8 + 32k) Solving 38 + 7k = 8 + 32k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-32k' to each side of the equation. 38 + 7k + -32k = 8 + 32k + -32k Combine like terms: 7k + -32k = -25k 38 + -25k = 8 + 32k + -32k Combine like terms: 32k + -32k = 0 38 + -25k = 8 + 0 38 + -25k = 8 Add '-38' to each side of the equation. 38 + -38 + -25k = 8 + -38 Combine like terms: 38 + -38 = 0 0 + -25k = 8 + -38 -25k = 8 + -38 Combine like terms: 8 + -38 = -30 -25k = -30 Divide each side by '-25'. k = 1.2 Simplifying k = 1.2
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