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Simplifying 3(3 + -1a) + -33 = 27a + -6(4 + 5a) (3 * 3 + -1a * 3) + -33 = 27a + -6(4 + 5a) (9 + -3a) + -33 = 27a + -6(4 + 5a) Reorder the terms: 9 + -33 + -3a = 27a + -6(4 + 5a) Combine like terms: 9 + -33 = -24 -24 + -3a = 27a + -6(4 + 5a) -24 + -3a = 27a + (4 * -6 + 5a * -6) -24 + -3a = 27a + (-24 + -30a) Reorder the terms: -24 + -3a = -24 + 27a + -30a Combine like terms: 27a + -30a = -3a -24 + -3a = -24 + -3a Add '24' to each side of the equation. -24 + 24 + -3a = -24 + 24 + -3a Combine like terms: -24 + 24 = 0 0 + -3a = -24 + 24 + -3a -3a = -24 + 24 + -3a Combine like terms: -24 + 24 = 0 -3a = 0 + -3a -3a = -3a Add '3a' to each side of the equation. -3a + 3a = -3a + 3a Combine like terms: -3a + 3a = 0 0 = -3a + 3a Combine like terms: -3a + 3a = 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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