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Simplifying 3(a + -2) + -4(2a + -3) = 0 Reorder the terms: 3(-2 + a) + -4(2a + -3) = 0 (-2 * 3 + a * 3) + -4(2a + -3) = 0 (-6 + 3a) + -4(2a + -3) = 0 Reorder the terms: -6 + 3a + -4(-3 + 2a) = 0 -6 + 3a + (-3 * -4 + 2a * -4) = 0 -6 + 3a + (12 + -8a) = 0 Reorder the terms: -6 + 12 + 3a + -8a = 0 Combine like terms: -6 + 12 = 6 6 + 3a + -8a = 0 Combine like terms: 3a + -8a = -5a 6 + -5a = 0 Solving 6 + -5a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5a = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5a = 0 + -6 -5a = 0 + -6 Combine like terms: 0 + -6 = -6 -5a = -6 Divide each side by '-5'. a = 1.2 Simplifying a = 1.2
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