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Simplifying 4(3a + -5) + -5a = 7(a + -8) + -5 Reorder the terms: 4(-5 + 3a) + -5a = 7(a + -8) + -5 (-5 * 4 + 3a * 4) + -5a = 7(a + -8) + -5 (-20 + 12a) + -5a = 7(a + -8) + -5 Combine like terms: 12a + -5a = 7a -20 + 7a = 7(a + -8) + -5 Reorder the terms: -20 + 7a = 7(-8 + a) + -5 -20 + 7a = (-8 * 7 + a * 7) + -5 -20 + 7a = (-56 + 7a) + -5 Reorder the terms: -20 + 7a = -56 + -5 + 7a Combine like terms: -56 + -5 = -61 -20 + 7a = -61 + 7a Add '-7a' to each side of the equation. -20 + 7a + -7a = -61 + 7a + -7a Combine like terms: 7a + -7a = 0 -20 + 0 = -61 + 7a + -7a -20 = -61 + 7a + -7a Combine like terms: 7a + -7a = 0 -20 = -61 + 0 -20 = -61 Solving -20 = -61 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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