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Simplifying 6(a + 3) + 3a = 3(a + -2) Reorder the terms: 6(3 + a) + 3a = 3(a + -2) (3 * 6 + a * 6) + 3a = 3(a + -2) (18 + 6a) + 3a = 3(a + -2) Combine like terms: 6a + 3a = 9a 18 + 9a = 3(a + -2) Reorder the terms: 18 + 9a = 3(-2 + a) 18 + 9a = (-2 * 3 + a * 3) 18 + 9a = (-6 + 3a) Solving 18 + 9a = -6 + 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 = -6 + 3a + -3a Combine like terms: 9a + -3a = 6a 18 + 6a = -6 + 3a + -3a Combine like terms: 3a + -3a = 0 18 + 6a = -6 + 0 18 + 6a = -6 Add '-18' to each side of the equation. 18 + -18 + 6a = -6 + -18 Combine like terms: 18 + -18 = 0 0 + 6a = -6 + -18 6a = -6 + -18 Combine like terms: -6 + -18 = -24 6a = -24 Divide each side by '6'. a = -4 Simplifying a = -4
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