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Simplifying 52 = 4(1 + 3k) 52 = (1 * 4 + 3k * 4) 52 = (4 + 12k) Solving 52 = 4 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. 52 + -12k = 4 + 12k + -12k Combine like terms: 12k + -12k = 0 52 + -12k = 4 + 0 52 + -12k = 4 Add '-52' to each side of the equation. 52 + -52 + -12k = 4 + -52 Combine like terms: 52 + -52 = 0 0 + -12k = 4 + -52 -12k = 4 + -52 Combine like terms: 4 + -52 = -48 -12k = -48 Divide each side by '-12'. k = 4 Simplifying k = 4
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