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Simplifying 5 + 2(a) = 7 + -4a Solving 5 + 2a = 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. 5 + 2a + 4a = 7 + -4a + 4a Combine like terms: 2a + 4a = 6a 5 + 6a = 7 + -4a + 4a Combine like terms: -4a + 4a = 0 5 + 6a = 7 + 0 5 + 6a = 7 Add '-5' to each side of the equation. 5 + -5 + 6a = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 6a = 7 + -5 6a = 7 + -5 Combine like terms: 7 + -5 = 2 6a = 2 Divide each side by '6'. a = 0.3333333333 Simplifying a = 0.3333333333
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