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Simplifying 3(9 + -1a) + -45 = 21a + -6(3 + 4a) (9 * 3 + -1a * 3) + -45 = 21a + -6(3 + 4a) (27 + -3a) + -45 = 21a + -6(3 + 4a) Reorder the terms: 27 + -45 + -3a = 21a + -6(3 + 4a) Combine like terms: 27 + -45 = -18 -18 + -3a = 21a + -6(3 + 4a) -18 + -3a = 21a + (3 * -6 + 4a * -6) -18 + -3a = 21a + (-18 + -24a) Reorder the terms: -18 + -3a = -18 + 21a + -24a Combine like terms: 21a + -24a = -3a -18 + -3a = -18 + -3a Add '18' to each side of the equation. -18 + 18 + -3a = -18 + 18 + -3a Combine like terms: -18 + 18 = 0 0 + -3a = -18 + 18 + -3a -3a = -18 + 18 + -3a Combine like terms: -18 + 18 = 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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