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