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Simplifying -8(3 + 4a) = 3a + -7(5a + -7) (3 * -8 + 4a * -8) = 3a + -7(5a + -7) (-24 + -32a) = 3a + -7(5a + -7) Reorder the terms: -24 + -32a = 3a + -7(-7 + 5a) -24 + -32a = 3a + (-7 * -7 + 5a * -7) -24 + -32a = 3a + (49 + -35a) Reorder the terms: -24 + -32a = 49 + 3a + -35a Combine like terms: 3a + -35a = -32a -24 + -32a = 49 + -32a Add '32a' to each side of the equation. -24 + -32a + 32a = 49 + -32a + 32a Combine like terms: -32a + 32a = 0 -24 + 0 = 49 + -32a + 32a -24 = 49 + -32a + 32a Combine like terms: -32a + 32a = 0 -24 = 49 + 0 -24 = 49 Solving -24 = 49 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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