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Simplifying 6(2.1k + -2) + (7k + 5) = 0 Reorder the terms: 6(-2 + 2.1k) + (7k + 5) = 0 (-2 * 6 + 2.1k * 6) + (7k + 5) = 0 (-12 + 12.6k) + (7k + 5) = 0 Reorder the terms: -12 + 12.6k + (5 + 7k) = 0 Remove parenthesis around (5 + 7k) -12 + 12.6k + 5 + 7k = 0 Reorder the terms: -12 + 5 + 12.6k + 7k = 0 Combine like terms: -12 + 5 = -7 -7 + 12.6k + 7k = 0 Combine like terms: 12.6k + 7k = 19.6k -7 + 19.6k = 0 Solving -7 + 19.6k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 19.6k = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 19.6k = 0 + 7 19.6k = 0 + 7 Combine like terms: 0 + 7 = 7 19.6k = 7 Divide each side by '19.6'. k = 0.3571428571 Simplifying k = 0.3571428571
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