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Simplifying 7(2 + a) = 3(6a + -6) (2 * 7 + a * 7) = 3(6a + -6) (14 + 7a) = 3(6a + -6) Reorder the terms: 14 + 7a = 3(-6 + 6a) 14 + 7a = (-6 * 3 + 6a * 3) 14 + 7a = (-18 + 18a) Solving 14 + 7a = -18 + 18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18a' to each side of the equation. 14 + 7a + -18a = -18 + 18a + -18a Combine like terms: 7a + -18a = -11a 14 + -11a = -18 + 18a + -18a Combine like terms: 18a + -18a = 0 14 + -11a = -18 + 0 14 + -11a = -18 Add '-14' to each side of the equation. 14 + -14 + -11a = -18 + -14 Combine like terms: 14 + -14 = 0 0 + -11a = -18 + -14 -11a = -18 + -14 Combine like terms: -18 + -14 = -32 -11a = -32 Divide each side by '-11'. a = 2.909090909 Simplifying a = 2.909090909
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