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Simplifying (a + -2) * 9 + -1(-3a) + -6 = 0 Reorder the terms: (-2 + a) * 9 + -1(-3a) + -6 = 0 Reorder the terms for easier multiplication: 9(-2 + a) + -1(-3a) + -6 = 0 (-2 * 9 + a * 9) + -1(-3a) + -6 = 0 (-18 + 9a) + -1(-3a) + -6 = 0 Remove parenthesis around (-3a) -18 + 9a + -1 * -3a + -6 = 0 Multiply -1 * -3 -18 + 9a + 3a + -6 = 0 Reorder the terms: -18 + -6 + 9a + 3a = 0 Combine like terms: -18 + -6 = -24 -24 + 9a + 3a = 0 Combine like terms: 9a + 3a = 12a -24 + 12a = 0 Solving -24 + 12a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 12a = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 12a = 0 + 24 12a = 0 + 24 Combine like terms: 0 + 24 = 24 12a = 24 Divide each side by '12'. a = 2 Simplifying a = 2
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