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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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