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Simplifying 10(k + -2a) + 7k(k + -2) = 0 Reorder the terms: 10(-2a + k) + 7k(k + -2) = 0 (-2a * 10 + k * 10) + 7k(k + -2) = 0 (-20a + 10k) + 7k(k + -2) = 0 Reorder the terms: -20a + 10k + 7k(-2 + k) = 0 -20a + 10k + (-2 * 7k + k * 7k) = 0 -20a + 10k + (-14k + 7k2) = 0 Combine like terms: 10k + -14k = -4k -20a + -4k + 7k2 = 0 Solving -20a + -4k + 7k2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4k' to each side of the equation. -20a + -4k + 4k + 7k2 = 0 + 4k Combine like terms: -4k + 4k = 0 -20a + 0 + 7k2 = 0 + 4k -20a + 7k2 = 0 + 4k Remove the zero: -20a + 7k2 = 4k Add '-7k2' to each side of the equation. -20a + 7k2 + -7k2 = 4k + -7k2 Combine like terms: 7k2 + -7k2 = 0 -20a + 0 = 4k + -7k2 -20a = 4k + -7k2 Divide each side by '-20'. a = -0.2k + 0.35k2 Simplifying a = -0.2k + 0.35k2
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