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Simplifying 2(-3a + 9) + -6(2a + -5) + -3(a + 2) = 0 Reorder the terms: 2(9 + -3a) + -6(2a + -5) + -3(a + 2) = 0 (9 * 2 + -3a * 2) + -6(2a + -5) + -3(a + 2) = 0 (18 + -6a) + -6(2a + -5) + -3(a + 2) = 0 Reorder the terms: 18 + -6a + -6(-5 + 2a) + -3(a + 2) = 0 18 + -6a + (-5 * -6 + 2a * -6) + -3(a + 2) = 0 18 + -6a + (30 + -12a) + -3(a + 2) = 0 Reorder the terms: 18 + -6a + 30 + -12a + -3(2 + a) = 0 18 + -6a + 30 + -12a + (2 * -3 + a * -3) = 0 18 + -6a + 30 + -12a + (-6 + -3a) = 0 Reorder the terms: 18 + 30 + -6 + -6a + -12a + -3a = 0 Combine like terms: 18 + 30 = 48 48 + -6 + -6a + -12a + -3a = 0 Combine like terms: 48 + -6 = 42 42 + -6a + -12a + -3a = 0 Combine like terms: -6a + -12a = -18a 42 + -18a + -3a = 0 Combine like terms: -18a + -3a = -21a 42 + -21a = 0 Solving 42 + -21a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -21a = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -21a = 0 + -42 -21a = 0 + -42 Combine like terms: 0 + -42 = -42 -21a = -42 Divide each side by '-21'. a = 2 Simplifying a = 2
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