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Simplifying 52 = 4(1 + 4k) 52 = (1 * 4 + 4k * 4) 52 = (4 + 16k) Solving 52 = 4 + 16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16k' to each side of the equation. 52 + -16k = 4 + 16k + -16k Combine like terms: 16k + -16k = 0 52 + -16k = 4 + 0 52 + -16k = 4 Add '-52' to each side of the equation. 52 + -52 + -16k = 4 + -52 Combine like terms: 52 + -52 = 0 0 + -16k = 4 + -52 -16k = 4 + -52 Combine like terms: 4 + -52 = -48 -16k = -48 Divide each side by '-16'. k = 3 Simplifying k = 3
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