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Simplifying 5(a + 3) + 2(a + -5) + (a + -1) = 8a + 4 Reorder the terms: 5(3 + a) + 2(a + -5) + (a + -1) = 8a + 4 (3 * 5 + a * 5) + 2(a + -5) + (a + -1) = 8a + 4 (15 + 5a) + 2(a + -5) + (a + -1) = 8a + 4 Reorder the terms: 15 + 5a + 2(-5 + a) + (a + -1) = 8a + 4 15 + 5a + (-5 * 2 + a * 2) + (a + -1) = 8a + 4 15 + 5a + (-10 + 2a) + (a + -1) = 8a + 4 Reorder the terms: 15 + 5a + -10 + 2a + (-1 + a) = 8a + 4 Remove parenthesis around (-1 + a) 15 + 5a + -10 + 2a + -1 + a = 8a + 4 Reorder the terms: 15 + -10 + -1 + 5a + 2a + a = 8a + 4 Combine like terms: 15 + -10 = 5 5 + -1 + 5a + 2a + a = 8a + 4 Combine like terms: 5 + -1 = 4 4 + 5a + 2a + a = 8a + 4 Combine like terms: 5a + 2a = 7a 4 + 7a + a = 8a + 4 Combine like terms: 7a + a = 8a 4 + 8a = 8a + 4 Reorder the terms: 4 + 8a = 4 + 8a Add '-4' to each side of the equation. 4 + -4 + 8a = 4 + -4 + 8a Combine like terms: 4 + -4 = 0 0 + 8a = 4 + -4 + 8a 8a = 4 + -4 + 8a Combine like terms: 4 + -4 = 0 8a = 0 + 8a 8a = 8a Add '-8a' to each side of the equation. 8a + -8a = 8a + -8a Combine like terms: 8a + -8a = 0 0 = 8a + -8a Combine like terms: 8a + -8a = 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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