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Simplifying 2(3a + -8) + -3a = 3(a + -5) + -5 Reorder the terms: 2(-8 + 3a) + -3a = 3(a + -5) + -5 (-8 * 2 + 3a * 2) + -3a = 3(a + -5) + -5 (-16 + 6a) + -3a = 3(a + -5) + -5 Combine like terms: 6a + -3a = 3a -16 + 3a = 3(a + -5) + -5 Reorder the terms: -16 + 3a = 3(-5 + a) + -5 -16 + 3a = (-5 * 3 + a * 3) + -5 -16 + 3a = (-15 + 3a) + -5 Reorder the terms: -16 + 3a = -15 + -5 + 3a Combine like terms: -15 + -5 = -20 -16 + 3a = -20 + 3a Add '-3a' to each side of the equation. -16 + 3a + -3a = -20 + 3a + -3a Combine like terms: 3a + -3a = 0 -16 + 0 = -20 + 3a + -3a -16 = -20 + 3a + -3a Combine like terms: 3a + -3a = 0 -16 = -20 + 0 -16 = -20 Solving -16 = -20 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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