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Simplifying 5(8 + -1a) + -64 = 25a + -6(4 + 5a) (8 * 5 + -1a * 5) + -64 = 25a + -6(4 + 5a) (40 + -5a) + -64 = 25a + -6(4 + 5a) Reorder the terms: 40 + -64 + -5a = 25a + -6(4 + 5a) Combine like terms: 40 + -64 = -24 -24 + -5a = 25a + -6(4 + 5a) -24 + -5a = 25a + (4 * -6 + 5a * -6) -24 + -5a = 25a + (-24 + -30a) Reorder the terms: -24 + -5a = -24 + 25a + -30a Combine like terms: 25a + -30a = -5a -24 + -5a = -24 + -5a Add '24' to each side of the equation. -24 + 24 + -5a = -24 + 24 + -5a Combine like terms: -24 + 24 = 0 0 + -5a = -24 + 24 + -5a -5a = -24 + 24 + -5a Combine like terms: -24 + 24 = 0 -5a = 0 + -5a -5a = -5a Add '5a' to each side of the equation. -5a + 5a = -5a + 5a Combine like terms: -5a + 5a = 0 0 = -5a + 5a Combine like terms: -5a + 5a = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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