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Simplifying 6(a + 3) = 2(a + 11) Reorder the terms: 6(3 + a) = 2(a + 11) (3 * 6 + a * 6) = 2(a + 11) (18 + 6a) = 2(a + 11) Reorder the terms: 18 + 6a = 2(11 + a) 18 + 6a = (11 * 2 + a * 2) 18 + 6a = (22 + 2a) Solving 18 + 6a = 22 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 18 + 6a + -2a = 22 + 2a + -2a Combine like terms: 6a + -2a = 4a 18 + 4a = 22 + 2a + -2a Combine like terms: 2a + -2a = 0 18 + 4a = 22 + 0 18 + 4a = 22 Add '-18' to each side of the equation. 18 + -18 + 4a = 22 + -18 Combine like terms: 18 + -18 = 0 0 + 4a = 22 + -18 4a = 22 + -18 Combine like terms: 22 + -18 = 4 4a = 4 Divide each side by '4'. a = 1 Simplifying a = 1
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