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Simplifying 2[a + -8] + 7 = 5[a + 2] + -3a + -19 Reorder the terms: 2[-8 + a] + 7 = 5[a + 2] + -3a + -19 [-8 * 2 + a * 2] + 7 = 5[a + 2] + -3a + -19 [-16 + 2a] + 7 = 5[a + 2] + -3a + -19 Reorder the terms: -16 + 7 + 2a = 5[a + 2] + -3a + -19 Combine like terms: -16 + 7 = -9 -9 + 2a = 5[a + 2] + -3a + -19 Reorder the terms: -9 + 2a = 5[2 + a] + -3a + -19 -9 + 2a = [2 * 5 + a * 5] + -3a + -19 -9 + 2a = [10 + 5a] + -3a + -19 Reorder the terms: -9 + 2a = 10 + -19 + 5a + -3a Combine like terms: 10 + -19 = -9 -9 + 2a = -9 + 5a + -3a Combine like terms: 5a + -3a = 2a -9 + 2a = -9 + 2a Add '9' to each side of the equation. -9 + 9 + 2a = -9 + 9 + 2a Combine like terms: -9 + 9 = 0 0 + 2a = -9 + 9 + 2a 2a = -9 + 9 + 2a Combine like terms: -9 + 9 = 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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