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Simplifying 10(4a + 3b) + -9(6a + 4) = 0 (4a * 10 + 3b * 10) + -9(6a + 4) = 0 (40a + 30b) + -9(6a + 4) = 0 Reorder the terms: 40a + 30b + -9(4 + 6a) = 0 40a + 30b + (4 * -9 + 6a * -9) = 0 40a + 30b + (-36 + -54a) = 0 Reorder the terms: -36 + 40a + -54a + 30b = 0 Combine like terms: 40a + -54a = -14a -36 + -14a + 30b = 0 Solving -36 + -14a + 30b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '36' to each side of the equation. -36 + -14a + 36 + 30b = 0 + 36 Reorder the terms: -36 + 36 + -14a + 30b = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -14a + 30b = 0 + 36 -14a + 30b = 0 + 36 Combine like terms: 0 + 36 = 36 -14a + 30b = 36 Add '-30b' to each side of the equation. -14a + 30b + -30b = 36 + -30b Combine like terms: 30b + -30b = 0 -14a + 0 = 36 + -30b -14a = 36 + -30b Divide each side by '-14'. a = -2.571428571 + 2.142857143b Simplifying a = -2.571428571 + 2.142857143b
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