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Simplifying 4(a + 3) = 2(7 + -1a) Reorder the terms: 4(3 + a) = 2(7 + -1a) (3 * 4 + a * 4) = 2(7 + -1a) (12 + 4a) = 2(7 + -1a) 12 + 4a = (7 * 2 + -1a * 2) 12 + 4a = (14 + -2a) Solving 12 + 4a = 14 + -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. 12 + 4a + 2a = 14 + -2a + 2a Combine like terms: 4a + 2a = 6a 12 + 6a = 14 + -2a + 2a Combine like terms: -2a + 2a = 0 12 + 6a = 14 + 0 12 + 6a = 14 Add '-12' to each side of the equation. 12 + -12 + 6a = 14 + -12 Combine like terms: 12 + -12 = 0 0 + 6a = 14 + -12 6a = 14 + -12 Combine like terms: 14 + -12 = 2 6a = 2 Divide each side by '6'. a = 0.3333333333 Simplifying a = 0.3333333333
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