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Simplifying 2(3a + -4) + -1(5a + -3) = 0 Reorder the terms: 2(-4 + 3a) + -1(5a + -3) = 0 (-4 * 2 + 3a * 2) + -1(5a + -3) = 0 (-8 + 6a) + -1(5a + -3) = 0 Reorder the terms: -8 + 6a + -1(-3 + 5a) = 0 -8 + 6a + (-3 * -1 + 5a * -1) = 0 -8 + 6a + (3 + -5a) = 0 Reorder the terms: -8 + 3 + 6a + -5a = 0 Combine like terms: -8 + 3 = -5 -5 + 6a + -5a = 0 Combine like terms: 6a + -5a = 1a -5 + 1a = 0 Solving -5 + 1a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 1a = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 1a = 0 + 5 1a = 0 + 5 Combine like terms: 0 + 5 = 5 1a = 5 Divide each side by '1'. a = 5 Simplifying a = 5
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