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Simplifying 4(2a + -8) = 7a + 10 + a + -42 Reorder the terms: 4(-8 + 2a) = 7a + 10 + a + -42 (-8 * 4 + 2a * 4) = 7a + 10 + a + -42 (-32 + 8a) = 7a + 10 + a + -42 Reorder the terms: -32 + 8a = 10 + -42 + 7a + a Combine like terms: 10 + -42 = -32 -32 + 8a = -32 + 7a + a Combine like terms: 7a + a = 8a -32 + 8a = -32 + 8a Add '32' to each side of the equation. -32 + 32 + 8a = -32 + 32 + 8a Combine like terms: -32 + 32 = 0 0 + 8a = -32 + 32 + 8a 8a = -32 + 32 + 8a Combine like terms: -32 + 32 = 0 8a = 0 + 8a 8a = 8a Add '-8a' to each side of the equation. 8a + -8a = 8a + -8a Combine like terms: 8a + -8a = 0 0 = 8a + -8a Combine like terms: 8a + -8a = 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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