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Simplifying 2(a + 6) + 3(a + -6) = 18 Reorder the terms: 2(6 + a) + 3(a + -6) = 18 (6 * 2 + a * 2) + 3(a + -6) = 18 (12 + 2a) + 3(a + -6) = 18 Reorder the terms: 12 + 2a + 3(-6 + a) = 18 12 + 2a + (-6 * 3 + a * 3) = 18 12 + 2a + (-18 + 3a) = 18 Reorder the terms: 12 + -18 + 2a + 3a = 18 Combine like terms: 12 + -18 = -6 -6 + 2a + 3a = 18 Combine like terms: 2a + 3a = 5a -6 + 5a = 18 Solving -6 + 5a = 18 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 5a = 18 + 6 Combine like terms: -6 + 6 = 0 0 + 5a = 18 + 6 5a = 18 + 6 Combine like terms: 18 + 6 = 24 5a = 24 Divide each side by '5'. a = 4.8 Simplifying a = 4.8
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