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Simplifying 147 = 7(7 + 7k) 147 = (7 * 7 + 7k * 7) 147 = (49 + 49k) Solving 147 = 49 + 49k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-49k' to each side of the equation. 147 + -49k = 49 + 49k + -49k Combine like terms: 49k + -49k = 0 147 + -49k = 49 + 0 147 + -49k = 49 Add '-147' to each side of the equation. 147 + -147 + -49k = 49 + -147 Combine like terms: 147 + -147 = 0 0 + -49k = 49 + -147 -49k = 49 + -147 Combine like terms: 49 + -147 = -98 -49k = -98 Divide each side by '-49'. k = 2 Simplifying k = 2
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