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Simplifying -4 + -5(1 + -7k) = 15 -4 + (1 * -5 + -7k * -5) = 15 -4 + (-5 + 35k) = 15 Combine like terms: -4 + -5 = -9 -9 + 35k = 15 Solving -9 + 35k = 15 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 35k = 15 + 9 Combine like terms: -9 + 9 = 0 0 + 35k = 15 + 9 35k = 15 + 9 Combine like terms: 15 + 9 = 24 35k = 24 Divide each side by '35'. k = 0.6857142857 Simplifying k = 0.6857142857
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