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Simplifying 7 + 7(1 + 5k) = 0 7 + (1 * 7 + 5k * 7) = 0 7 + (7 + 35k) = 0 Combine like terms: 7 + 7 = 14 14 + 35k = 0 Solving 14 + 35k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 35k = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 35k = 0 + -14 35k = 0 + -14 Combine like terms: 0 + -14 = -14 35k = -14 Divide each side by '35'. k = -0.4 Simplifying k = -0.4
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