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Simplifying -6(-3a + 5) + -9a = 14 + 2(5a + -22) + -1a Reorder the terms: -6(5 + -3a) + -9a = 14 + 2(5a + -22) + -1a (5 * -6 + -3a * -6) + -9a = 14 + 2(5a + -22) + -1a (-30 + 18a) + -9a = 14 + 2(5a + -22) + -1a Combine like terms: 18a + -9a = 9a -30 + 9a = 14 + 2(5a + -22) + -1a Reorder the terms: -30 + 9a = 14 + 2(-22 + 5a) + -1a -30 + 9a = 14 + (-22 * 2 + 5a * 2) + -1a -30 + 9a = 14 + (-44 + 10a) + -1a Combine like terms: 14 + -44 = -30 -30 + 9a = -30 + 10a + -1a Combine like terms: 10a + -1a = 9a -30 + 9a = -30 + 9a Add '30' to each side of the equation. -30 + 30 + 9a = -30 + 30 + 9a Combine like terms: -30 + 30 = 0 0 + 9a = -30 + 30 + 9a 9a = -30 + 30 + 9a Combine like terms: -30 + 30 = 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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