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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 = 8a 2 + 8a = 18 + -6a + 6a Combine like terms: -6a + 6a = 0 2 + 8a = 18 + 0 2 + 8a = 18 Add '-2' to each side of the equation. 2 + -2 + 8a = 18 + -2 Combine like terms: 2 + -2 = 0 0 + 8a = 18 + -2 8a = 18 + -2 Combine like terms: 18 + -2 = 16 8a = 16 Divide each side by '8'. a = 2 Simplifying a = 2
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