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Simplifying 1 + a + 5a + -8 = 5a + 2a Reorder the terms: 1 + -8 + a + 5a = 5a + 2a Combine like terms: 1 + -8 = -7 -7 + a + 5a = 5a + 2a Combine like terms: a + 5a = 6a -7 + 6a = 5a + 2a Combine like terms: 5a + 2a = 7a -7 + 6a = 7a Solving -7 + 6a = 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -7 + 6a + -7a = 7a + -7a Combine like terms: 6a + -7a = -1a -7 + -1a = 7a + -7a Combine like terms: 7a + -7a = 0 -7 + -1a = 0 Add '7' to each side of the equation. -7 + 7 + -1a = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1a = 0 + 7 -1a = 0 + 7 Combine like terms: 0 + 7 = 7 -1a = 7 Divide each side by '-1'. a = -7 Simplifying a = -7
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