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Simplifying 3(2a + -5) + 4(3a + -2) = 0 Reorder the terms: 3(-5 + 2a) + 4(3a + -2) = 0 (-5 * 3 + 2a * 3) + 4(3a + -2) = 0 (-15 + 6a) + 4(3a + -2) = 0 Reorder the terms: -15 + 6a + 4(-2 + 3a) = 0 -15 + 6a + (-2 * 4 + 3a * 4) = 0 -15 + 6a + (-8 + 12a) = 0 Reorder the terms: -15 + -8 + 6a + 12a = 0 Combine like terms: -15 + -8 = -23 -23 + 6a + 12a = 0 Combine like terms: 6a + 12a = 18a -23 + 18a = 0 Solving -23 + 18a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 18a = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 18a = 0 + 23 18a = 0 + 23 Combine like terms: 0 + 23 = 23 18a = 23 Divide each side by '18'. a = 1.277777778 Simplifying a = 1.277777778
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