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Simplifying 12a + -1(4b + 4a) + -1b = 12a + -1(4b + 4a) + (-1b) Reorder the terms: 12a + -1(4a + 4b) + -1b = 12a + -1(4b + 4a) + (-1b) 12a + (4a * -1 + 4b * -1) + -1b = 12a + -1(4b + 4a) + (-1b) 12a + (-4a + -4b) + -1b = 12a + -1(4b + 4a) + (-1b) Combine like terms: 12a + -4a = 8a 8a + -4b + -1b = 12a + -1(4b + 4a) + (-1b) Combine like terms: -4b + -1b = -5b 8a + -5b = 12a + -1(4b + 4a) + (-1b) Reorder the terms: 8a + -5b = 12a + -1(4a + 4b) + (-1b) 8a + -5b = 12a + (4a * -1 + 4b * -1) + (-1b) 8a + -5b = 12a + (-4a + -4b) + (-1b) Combine like terms: 12a + -4a = 8a 8a + -5b = 8a + -4b + (-1b) Combine like terms: -4b + (-1b) = -5b 8a + -5b = 8a + -5b Add '-8a' to each side of the equation. 8a + -8a + -5b = 8a + -8a + -5b Combine like terms: 8a + -8a = 0 0 + -5b = 8a + -8a + -5b -5b = 8a + -8a + -5b Combine like terms: 8a + -8a = 0 -5b = 0 + -5b -5b = -5b Add '5b' to each side of the equation. -5b + 5b = -5b + 5b Combine like terms: -5b + 5b = 0 0 = -5b + 5b Combine like terms: -5b + 5b = 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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