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Simplifying 3(a + 5) = 4(a + 5) + -1(a + 5) Reorder the terms: 3(5 + a) = 4(a + 5) + -1(a + 5) (5 * 3 + a * 3) = 4(a + 5) + -1(a + 5) (15 + 3a) = 4(a + 5) + -1(a + 5) Reorder the terms: 15 + 3a = 4(5 + a) + -1(a + 5) 15 + 3a = (5 * 4 + a * 4) + -1(a + 5) 15 + 3a = (20 + 4a) + -1(a + 5) Reorder the terms: 15 + 3a = 20 + 4a + -1(5 + a) 15 + 3a = 20 + 4a + (5 * -1 + a * -1) 15 + 3a = 20 + 4a + (-5 + -1a) Reorder the terms: 15 + 3a = 20 + -5 + 4a + -1a Combine like terms: 20 + -5 = 15 15 + 3a = 15 + 4a + -1a Combine like terms: 4a + -1a = 3a 15 + 3a = 15 + 3a Add '-15' to each side of the equation. 15 + -15 + 3a = 15 + -15 + 3a Combine like terms: 15 + -15 = 0 0 + 3a = 15 + -15 + 3a 3a = 15 + -15 + 3a Combine like terms: 15 + -15 = 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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