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Simplifying (2a + 7) = (3a + -5) Reorder the terms: (7 + 2a) = (3a + -5) Remove parenthesis around (7 + 2a) 7 + 2a = (3a + -5) Reorder the terms: 7 + 2a = (-5 + 3a) Remove parenthesis around (-5 + 3a) 7 + 2a = -5 + 3a Solving 7 + 2a = -5 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 7 + 2a + -3a = -5 + 3a + -3a Combine like terms: 2a + -3a = -1a 7 + -1a = -5 + 3a + -3a Combine like terms: 3a + -3a = 0 7 + -1a = -5 + 0 7 + -1a = -5 Add '-7' to each side of the equation. 7 + -7 + -1a = -5 + -7 Combine like terms: 7 + -7 = 0 0 + -1a = -5 + -7 -1a = -5 + -7 Combine like terms: -5 + -7 = -12 -1a = -12 Divide each side by '-1'. a = 12 Simplifying a = 12
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