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Simplifying -3 + 7(-1 + 5k) = -115 -3 + (-1 * 7 + 5k * 7) = -115 -3 + (-7 + 35k) = -115 Combine like terms: -3 + -7 = -10 -10 + 35k = -115 Solving -10 + 35k = -115 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 35k = -115 + 10 Combine like terms: -10 + 10 = 0 0 + 35k = -115 + 10 35k = -115 + 10 Combine like terms: -115 + 10 = -105 35k = -105 Divide each side by '35'. k = -3 Simplifying k = -3
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