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Simplifying (2a + 3) = (5a + -2) Reorder the terms: (3 + 2a) = (5a + -2) Remove parenthesis around (3 + 2a) 3 + 2a = (5a + -2) Reorder the terms: 3 + 2a = (-2 + 5a) Remove parenthesis around (-2 + 5a) 3 + 2a = -2 + 5a Solving 3 + 2a = -2 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 3 + 2a + -5a = -2 + 5a + -5a Combine like terms: 2a + -5a = -3a 3 + -3a = -2 + 5a + -5a Combine like terms: 5a + -5a = 0 3 + -3a = -2 + 0 3 + -3a = -2 Add '-3' to each side of the equation. 3 + -3 + -3a = -2 + -3 Combine like terms: 3 + -3 = 0 0 + -3a = -2 + -3 -3a = -2 + -3 Combine like terms: -2 + -3 = -5 -3a = -5 Divide each side by '-3'. a = 1.666666667 Simplifying a = 1.666666667
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