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Simplifying 2(a + -8) + 7 = 5(a + 2) + -3a + -12 Reorder the terms: 2(-8 + a) + 7 = 5(a + 2) + -3a + -12 (-8 * 2 + a * 2) + 7 = 5(a + 2) + -3a + -12 (-16 + 2a) + 7 = 5(a + 2) + -3a + -12 Reorder the terms: -16 + 7 + 2a = 5(a + 2) + -3a + -12 Combine like terms: -16 + 7 = -9 -9 + 2a = 5(a + 2) + -3a + -12 Reorder the terms: -9 + 2a = 5(2 + a) + -3a + -12 -9 + 2a = (2 * 5 + a * 5) + -3a + -12 -9 + 2a = (10 + 5a) + -3a + -12 Reorder the terms: -9 + 2a = 10 + -12 + 5a + -3a Combine like terms: 10 + -12 = -2 -9 + 2a = -2 + 5a + -3a Combine like terms: 5a + -3a = 2a -9 + 2a = -2 + 2a Add '-2a' to each side of the equation. -9 + 2a + -2a = -2 + 2a + -2a Combine like terms: 2a + -2a = 0 -9 + 0 = -2 + 2a + -2a -9 = -2 + 2a + -2a Combine like terms: 2a + -2a = 0 -9 = -2 + 0 -9 = -2 Solving -9 = -2 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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