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Simplifying 5a + 1b = 3(a + b) 5a + 1b = (a * 3 + b * 3) 5a + 1b = (3a + 3b) Solving 5a + 1b = 3a + 3b 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. 5a + -3a + 1b = 3a + -3a + 3b Combine like terms: 5a + -3a = 2a 2a + 1b = 3a + -3a + 3b Combine like terms: 3a + -3a = 0 2a + 1b = 0 + 3b 2a + 1b = 3b Add '-1b' to each side of the equation. 2a + 1b + -1b = 3b + -1b Combine like terms: 1b + -1b = 0 2a + 0 = 3b + -1b 2a = 3b + -1b Combine like terms: 3b + -1b = 2b 2a = 2b Divide each side by '2'. a = b Simplifying a = b
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