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Simplifying -7k + -10k + -2(3k + -4) = 0 Reorder the terms: -7k + -10k + -2(-4 + 3k) = 0 -7k + -10k + (-4 * -2 + 3k * -2) = 0 -7k + -10k + (8 + -6k) = 0 Reorder the terms: 8 + -7k + -10k + -6k = 0 Combine like terms: -7k + -10k = -17k 8 + -17k + -6k = 0 Combine like terms: -17k + -6k = -23k 8 + -23k = 0 Solving 8 + -23k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -23k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -23k = 0 + -8 -23k = 0 + -8 Combine like terms: 0 + -8 = -8 -23k = -8 Divide each side by '-23'. k = 0.347826087 Simplifying k = 0.347826087
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