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Simplifying (6a + 10) = 3a + 55 Reorder the terms: (10 + 6a) = 3a + 55 Remove parenthesis around (10 + 6a) 10 + 6a = 3a + 55 Reorder the terms: 10 + 6a = 55 + 3a Solving 10 + 6a = 55 + 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. 10 + 6a + -3a = 55 + 3a + -3a Combine like terms: 6a + -3a = 3a 10 + 3a = 55 + 3a + -3a Combine like terms: 3a + -3a = 0 10 + 3a = 55 + 0 10 + 3a = 55 Add '-10' to each side of the equation. 10 + -10 + 3a = 55 + -10 Combine like terms: 10 + -10 = 0 0 + 3a = 55 + -10 3a = 55 + -10 Combine like terms: 55 + -10 = 45 3a = 45 Divide each side by '3'. a = 15 Simplifying a = 15
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