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Simplifying (2a + 47) = (5a + 14) Reorder the terms: (47 + 2a) = (5a + 14) Remove parenthesis around (47 + 2a) 47 + 2a = (5a + 14) Reorder the terms: 47 + 2a = (14 + 5a) Remove parenthesis around (14 + 5a) 47 + 2a = 14 + 5a Solving 47 + 2a = 14 + 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. 47 + 2a + -5a = 14 + 5a + -5a Combine like terms: 2a + -5a = -3a 47 + -3a = 14 + 5a + -5a Combine like terms: 5a + -5a = 0 47 + -3a = 14 + 0 47 + -3a = 14 Add '-47' to each side of the equation. 47 + -47 + -3a = 14 + -47 Combine like terms: 47 + -47 = 0 0 + -3a = 14 + -47 -3a = 14 + -47 Combine like terms: 14 + -47 = -33 -3a = -33 Divide each side by '-3'. a = 11 Simplifying a = 11
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