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Simplifying 2(4 + -1a) = 3(a + 1) + -5(a + -1) (4 * 2 + -1a * 2) = 3(a + 1) + -5(a + -1) (8 + -2a) = 3(a + 1) + -5(a + -1) Reorder the terms: 8 + -2a = 3(1 + a) + -5(a + -1) 8 + -2a = (1 * 3 + a * 3) + -5(a + -1) 8 + -2a = (3 + 3a) + -5(a + -1) Reorder the terms: 8 + -2a = 3 + 3a + -5(-1 + a) 8 + -2a = 3 + 3a + (-1 * -5 + a * -5) 8 + -2a = 3 + 3a + (5 + -5a) Reorder the terms: 8 + -2a = 3 + 5 + 3a + -5a Combine like terms: 3 + 5 = 8 8 + -2a = 8 + 3a + -5a Combine like terms: 3a + -5a = -2a 8 + -2a = 8 + -2a Add '-8' to each side of the equation. 8 + -8 + -2a = 8 + -8 + -2a Combine like terms: 8 + -8 = 0 0 + -2a = 8 + -8 + -2a -2a = 8 + -8 + -2a Combine like terms: 8 + -8 = 0 -2a = 0 + -2a -2a = -2a Add '2a' to each side of the equation. -2a + 2a = -2a + 2a Combine like terms: -2a + 2a = 0 0 = -2a + 2a Combine like terms: -2a + 2a = 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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