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Simplifying 2[3 + -1(6 + -5a)] + -1a = -12 + 3(2 + 3a) 2[3 + (6 * -1 + -5a * -1)] + -1a = -12 + 3(2 + 3a) 2[3 + (-6 + 5a)] + -1a = -12 + 3(2 + 3a) Combine like terms: 3 + -6 = -3 2[-3 + 5a] + -1a = -12 + 3(2 + 3a) [-3 * 2 + 5a * 2] + -1a = -12 + 3(2 + 3a) [-6 + 10a] + -1a = -12 + 3(2 + 3a) Combine like terms: 10a + -1a = 9a -6 + 9a = -12 + 3(2 + 3a) -6 + 9a = -12 + (2 * 3 + 3a * 3) -6 + 9a = -12 + (6 + 9a) Combine like terms: -12 + 6 = -6 -6 + 9a = -6 + 9a Add '6' to each side of the equation. -6 + 6 + 9a = -6 + 6 + 9a Combine like terms: -6 + 6 = 0 0 + 9a = -6 + 6 + 9a 9a = -6 + 6 + 9a Combine like terms: -6 + 6 = 0 9a = 0 + 9a 9a = 9a Add '-9a' to each side of the equation. 9a + -9a = 9a + -9a Combine like terms: 9a + -9a = 0 0 = 9a + -9a Combine like terms: 9a + -9a = 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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