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Simplifying (3a + 43) = (2a + 37) Reorder the terms: (43 + 3a) = (2a + 37) Remove parenthesis around (43 + 3a) 43 + 3a = (2a + 37) Reorder the terms: 43 + 3a = (37 + 2a) Remove parenthesis around (37 + 2a) 43 + 3a = 37 + 2a Solving 43 + 3a = 37 + 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. 43 + 3a + -2a = 37 + 2a + -2a Combine like terms: 3a + -2a = 1a 43 + 1a = 37 + 2a + -2a Combine like terms: 2a + -2a = 0 43 + 1a = 37 + 0 43 + 1a = 37 Add '-43' to each side of the equation. 43 + -43 + 1a = 37 + -43 Combine like terms: 43 + -43 = 0 0 + 1a = 37 + -43 1a = 37 + -43 Combine like terms: 37 + -43 = -6 1a = -6 Divide each side by '1'. a = -6 Simplifying a = -6
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