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Simplifying 2(3a + 1) = 7 + -4a Reorder the terms: 2(1 + 3a) = 7 + -4a (1 * 2 + 3a * 2) = 7 + -4a (2 + 6a) = 7 + -4a Solving 2 + 6a = 7 + -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. 2 + 6a + 4a = 7 + -4a + 4a Combine like terms: 6a + 4a = 10a 2 + 10a = 7 + -4a + 4a Combine like terms: -4a + 4a = 0 2 + 10a = 7 + 0 2 + 10a = 7 Add '-2' to each side of the equation. 2 + -2 + 10a = 7 + -2 Combine like terms: 2 + -2 = 0 0 + 10a = 7 + -2 10a = 7 + -2 Combine like terms: 7 + -2 = 5 10a = 5 Divide each side by '10'. a = 0.5 Simplifying a = 0.5
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