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Simplifying 5(3a + -8) + -4a = 11(a + -3) + -5 Reorder the terms: 5(-8 + 3a) + -4a = 11(a + -3) + -5 (-8 * 5 + 3a * 5) + -4a = 11(a + -3) + -5 (-40 + 15a) + -4a = 11(a + -3) + -5 Combine like terms: 15a + -4a = 11a -40 + 11a = 11(a + -3) + -5 Reorder the terms: -40 + 11a = 11(-3 + a) + -5 -40 + 11a = (-3 * 11 + a * 11) + -5 -40 + 11a = (-33 + 11a) + -5 Reorder the terms: -40 + 11a = -33 + -5 + 11a Combine like terms: -33 + -5 = -38 -40 + 11a = -38 + 11a Add '-11a' to each side of the equation. -40 + 11a + -11a = -38 + 11a + -11a Combine like terms: 11a + -11a = 0 -40 + 0 = -38 + 11a + -11a -40 = -38 + 11a + -11a Combine like terms: 11a + -11a = 0 -40 = -38 + 0 -40 = -38 Solving -40 = -38 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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