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Simplifying 6a + 5b + -4(5a + -7b) = 0 6a + 5b + (5a * -4 + -7b * -4) = 0 6a + 5b + (-20a + 28b) = 0 Reorder the terms: 6a + -20a + 5b + 28b = 0 Combine like terms: 6a + -20a = -14a -14a + 5b + 28b = 0 Combine like terms: 5b + 28b = 33b -14a + 33b = 0 Solving -14a + 33b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-33b' to each side of the equation. -14a + 33b + -33b = 0 + -33b Combine like terms: 33b + -33b = 0 -14a + 0 = 0 + -33b -14a = 0 + -33b Remove the zero: -14a = -33b Divide each side by '-14'. a = 2.357142857b Simplifying a = 2.357142857b
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