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Simplifying 5(a + 1) + 5 = 3(a + 2) + 2(a + 2) Reorder the terms: 5(1 + a) + 5 = 3(a + 2) + 2(a + 2) (1 * 5 + a * 5) + 5 = 3(a + 2) + 2(a + 2) (5 + 5a) + 5 = 3(a + 2) + 2(a + 2) Reorder the terms: 5 + 5 + 5a = 3(a + 2) + 2(a + 2) Combine like terms: 5 + 5 = 10 10 + 5a = 3(a + 2) + 2(a + 2) Reorder the terms: 10 + 5a = 3(2 + a) + 2(a + 2) 10 + 5a = (2 * 3 + a * 3) + 2(a + 2) 10 + 5a = (6 + 3a) + 2(a + 2) Reorder the terms: 10 + 5a = 6 + 3a + 2(2 + a) 10 + 5a = 6 + 3a + (2 * 2 + a * 2) 10 + 5a = 6 + 3a + (4 + 2a) Reorder the terms: 10 + 5a = 6 + 4 + 3a + 2a Combine like terms: 6 + 4 = 10 10 + 5a = 10 + 3a + 2a Combine like terms: 3a + 2a = 5a 10 + 5a = 10 + 5a Add '-10' to each side of the equation. 10 + -10 + 5a = 10 + -10 + 5a Combine like terms: 10 + -10 = 0 0 + 5a = 10 + -10 + 5a 5a = 10 + -10 + 5a Combine like terms: 10 + -10 = 0 5a = 0 + 5a 5a = 5a Add '-5a' to each side of the equation. 5a + -5a = 5a + -5a Combine like terms: 5a + -5a = 0 0 = 5a + -5a Combine like terms: 5a + -5a = 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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