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Simplifying 3(2a + -6) = 2(2a + 1) Reorder the terms: 3(-6 + 2a) = 2(2a + 1) (-6 * 3 + 2a * 3) = 2(2a + 1) (-18 + 6a) = 2(2a + 1) Reorder the terms: -18 + 6a = 2(1 + 2a) -18 + 6a = (1 * 2 + 2a * 2) -18 + 6a = (2 + 4a) Solving -18 + 6a = 2 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -18 + 6a + -4a = 2 + 4a + -4a Combine like terms: 6a + -4a = 2a -18 + 2a = 2 + 4a + -4a Combine like terms: 4a + -4a = 0 -18 + 2a = 2 + 0 -18 + 2a = 2 Add '18' to each side of the equation. -18 + 18 + 2a = 2 + 18 Combine like terms: -18 + 18 = 0 0 + 2a = 2 + 18 2a = 2 + 18 Combine like terms: 2 + 18 = 20 2a = 20 Divide each side by '2'. a = 10 Simplifying a = 10
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