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Simplifying 3(8 + -1a) + -42 = 27a + -6(3 + 5a) (8 * 3 + -1a * 3) + -42 = 27a + -6(3 + 5a) (24 + -3a) + -42 = 27a + -6(3 + 5a) Reorder the terms: 24 + -42 + -3a = 27a + -6(3 + 5a) Combine like terms: 24 + -42 = -18 -18 + -3a = 27a + -6(3 + 5a) -18 + -3a = 27a + (3 * -6 + 5a * -6) -18 + -3a = 27a + (-18 + -30a) Reorder the terms: -18 + -3a = -18 + 27a + -30a Combine like terms: 27a + -30a = -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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