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Simplifying 2(3a + -4) + -3(a + 1) = 0 Reorder the terms: 2(-4 + 3a) + -3(a + 1) = 0 (-4 * 2 + 3a * 2) + -3(a + 1) = 0 (-8 + 6a) + -3(a + 1) = 0 Reorder the terms: -8 + 6a + -3(1 + a) = 0 -8 + 6a + (1 * -3 + a * -3) = 0 -8 + 6a + (-3 + -3a) = 0 Reorder the terms: -8 + -3 + 6a + -3a = 0 Combine like terms: -8 + -3 = -11 -11 + 6a + -3a = 0 Combine like terms: 6a + -3a = 3a -11 + 3a = 0 Solving -11 + 3a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 3a = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 3a = 0 + 11 3a = 0 + 11 Combine like terms: 0 + 11 = 11 3a = 11 Divide each side by '3'. a = 3.666666667 Simplifying a = 3.666666667
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