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Simplifying a + 5 = 3 + -2a Reorder the terms: 5 + a = 3 + -2a Solving 5 + a = 3 + -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. 5 + a + 2a = 3 + -2a + 2a Combine like terms: a + 2a = 3a 5 + 3a = 3 + -2a + 2a Combine like terms: -2a + 2a = 0 5 + 3a = 3 + 0 5 + 3a = 3 Add '-5' to each side of the equation. 5 + -5 + 3a = 3 + -5 Combine like terms: 5 + -5 = 0 0 + 3a = 3 + -5 3a = 3 + -5 Combine like terms: 3 + -5 = -2 3a = -2 Divide each side by '3'. a = -0.6666666667 Simplifying a = -0.6666666667
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