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Simplifying a + -8 + 7a = 5a + -2 + 4a + 1 Reorder the terms: -8 + a + 7a = 5a + -2 + 4a + 1 Combine like terms: a + 7a = 8a -8 + 8a = 5a + -2 + 4a + 1 Reorder the terms: -8 + 8a = -2 + 1 + 5a + 4a Combine like terms: -2 + 1 = -1 -8 + 8a = -1 + 5a + 4a Combine like terms: 5a + 4a = 9a -8 + 8a = -1 + 9a Solving -8 + 8a = -1 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. -8 + 8a + -9a = -1 + 9a + -9a Combine like terms: 8a + -9a = -1a -8 + -1a = -1 + 9a + -9a Combine like terms: 9a + -9a = 0 -8 + -1a = -1 + 0 -8 + -1a = -1 Add '8' to each side of the equation. -8 + 8 + -1a = -1 + 8 Combine like terms: -8 + 8 = 0 0 + -1a = -1 + 8 -1a = -1 + 8 Combine like terms: -1 + 8 = 7 -1a = 7 Divide each side by '-1'. a = -7 Simplifying a = -7
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