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Simplifying 1(2a + 2) = 3(2a + -6) Reorder the terms: 1(2 + 2a) = 3(2a + -6) (2 * 1 + 2a * 1) = 3(2a + -6) (2 + 2a) = 3(2a + -6) Reorder the terms: 2 + 2a = 3(-6 + 2a) 2 + 2a = (-6 * 3 + 2a * 3) 2 + 2a = (-18 + 6a) Solving 2 + 2a = -18 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 2 + 2a + -6a = -18 + 6a + -6a Combine like terms: 2a + -6a = -4a 2 + -4a = -18 + 6a + -6a Combine like terms: 6a + -6a = 0 2 + -4a = -18 + 0 2 + -4a = -18 Add '-2' to each side of the equation. 2 + -2 + -4a = -18 + -2 Combine like terms: 2 + -2 = 0 0 + -4a = -18 + -2 -4a = -18 + -2 Combine like terms: -18 + -2 = -20 -4a = -20 Divide each side by '-4'. a = 5 Simplifying a = 5
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