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Simplifying 4(a + 3) + -3(a + -2) = 0 Reorder the terms: 4(3 + a) + -3(a + -2) = 0 (3 * 4 + a * 4) + -3(a + -2) = 0 (12 + 4a) + -3(a + -2) = 0 Reorder the terms: 12 + 4a + -3(-2 + a) = 0 12 + 4a + (-2 * -3 + a * -3) = 0 12 + 4a + (6 + -3a) = 0 Reorder the terms: 12 + 6 + 4a + -3a = 0 Combine like terms: 12 + 6 = 18 18 + 4a + -3a = 0 Combine like terms: 4a + -3a = 1a 18 + 1a = 0 Solving 18 + 1a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 1a = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 1a = 0 + -18 1a = 0 + -18 Combine like terms: 0 + -18 = -18 1a = -18 Divide each side by '1'. a = -18 Simplifying a = -18
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