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Simplifying 9(a + -2) = 3(a + 4) Reorder the terms: 9(-2 + a) = 3(a + 4) (-2 * 9 + a * 9) = 3(a + 4) (-18 + 9a) = 3(a + 4) Reorder the terms: -18 + 9a = 3(4 + a) -18 + 9a = (4 * 3 + a * 3) -18 + 9a = (12 + 3a) Solving -18 + 9a = 12 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -18 + 9a + -3a = 12 + 3a + -3a Combine like terms: 9a + -3a = 6a -18 + 6a = 12 + 3a + -3a Combine like terms: 3a + -3a = 0 -18 + 6a = 12 + 0 -18 + 6a = 12 Add '18' to each side of the equation. -18 + 18 + 6a = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 6a = 12 + 18 6a = 12 + 18 Combine like terms: 12 + 18 = 30 6a = 30 Divide each side by '6'. a = 5 Simplifying a = 5
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