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Simplifying 3 = 7(1 + -7k) + -4 3 = (1 * 7 + -7k * 7) + -4 3 = (7 + -49k) + -4 Reorder the terms: 3 = 7 + -4 + -49k Combine like terms: 7 + -4 = 3 3 = 3 + -49k Add '-3' to each side of the equation. 3 + -3 = 3 + -3 + -49k Combine like terms: 3 + -3 = 0 0 = 3 + -3 + -49k Combine like terms: 3 + -3 = 0 0 = 0 + -49k 0 = -49k Solving 0 = -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. 0 + 49k = -49k + 49k Remove the zero: 49k = -49k + 49k Combine like terms: -49k + 49k = 0 49k = 0 Divide each side by '49'. k = 0 Simplifying k = 0
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