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Simplifying 6a + 3(a + -2) = 18 + -3a Reorder the terms: 6a + 3(-2 + a) = 18 + -3a 6a + (-2 * 3 + a * 3) = 18 + -3a 6a + (-6 + 3a) = 18 + -3a Reorder the terms: -6 + 6a + 3a = 18 + -3a Combine like terms: 6a + 3a = 9a -6 + 9a = 18 + -3a Solving -6 + 9a = 18 + -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. -6 + 9a + 3a = 18 + -3a + 3a Combine like terms: 9a + 3a = 12a -6 + 12a = 18 + -3a + 3a Combine like terms: -3a + 3a = 0 -6 + 12a = 18 + 0 -6 + 12a = 18 Add '6' to each side of the equation. -6 + 6 + 12a = 18 + 6 Combine like terms: -6 + 6 = 0 0 + 12a = 18 + 6 12a = 18 + 6 Combine like terms: 18 + 6 = 24 12a = 24 Divide each side by '12'. a = 2 Simplifying a = 2
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