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Simplifying 3(6 + -1a) + -38 = 27a + -5(4 + 6a) (6 * 3 + -1a * 3) + -38 = 27a + -5(4 + 6a) (18 + -3a) + -38 = 27a + -5(4 + 6a) Reorder the terms: 18 + -38 + -3a = 27a + -5(4 + 6a) Combine like terms: 18 + -38 = -20 -20 + -3a = 27a + -5(4 + 6a) -20 + -3a = 27a + (4 * -5 + 6a * -5) -20 + -3a = 27a + (-20 + -30a) Reorder the terms: -20 + -3a = -20 + 27a + -30a Combine like terms: 27a + -30a = -3a -20 + -3a = -20 + -3a Add '20' to each side of the equation. -20 + 20 + -3a = -20 + 20 + -3a Combine like terms: -20 + 20 = 0 0 + -3a = -20 + 20 + -3a -3a = -20 + 20 + -3a Combine like terms: -20 + 20 = 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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