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Simplifying 5(2a + 7) + -6a = 8 + a Reorder the terms: 5(7 + 2a) + -6a = 8 + a (7 * 5 + 2a * 5) + -6a = 8 + a (35 + 10a) + -6a = 8 + a Combine like terms: 10a + -6a = 4a 35 + 4a = 8 + a Solving 35 + 4a = 8 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 35 + 4a + -1a = 8 + a + -1a Combine like terms: 4a + -1a = 3a 35 + 3a = 8 + a + -1a Combine like terms: a + -1a = 0 35 + 3a = 8 + 0 35 + 3a = 8 Add '-35' to each side of the equation. 35 + -35 + 3a = 8 + -35 Combine like terms: 35 + -35 = 0 0 + 3a = 8 + -35 3a = 8 + -35 Combine like terms: 8 + -35 = -27 3a = -27 Divide each side by '3'. a = -9 Simplifying a = -9
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