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Simplifying 3a + 4b + 3(2a + b) = 9a + 7b 3a + 4b + (2a * 3 + b * 3) = 9a + 7b 3a + 4b + (6a + 3b) = 9a + 7b Reorder the terms: 3a + 6a + 4b + 3b = 9a + 7b Combine like terms: 3a + 6a = 9a 9a + 4b + 3b = 9a + 7b Combine like terms: 4b + 3b = 7b 9a + 7b = 9a + 7b Add '-9a' to each side of the equation. 9a + -9a + 7b = 9a + -9a + 7b Combine like terms: 9a + -9a = 0 0 + 7b = 9a + -9a + 7b 7b = 9a + -9a + 7b Combine like terms: 9a + -9a = 0 7b = 0 + 7b 7b = 7b Add '-7b' to each side of the equation. 7b + -7b = 7b + -7b Combine like terms: 7b + -7b = 0 0 = 7b + -7b Combine like terms: 7b + -7b = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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