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Simplifying 5a + -1 + 2a + 5 + a = 9a + 3a + 8 + -3a + 13 + -10 Reorder the terms: -1 + 5 + 5a + 2a + a = 9a + 3a + 8 + -3a + 13 + -10 Combine like terms: -1 + 5 = 4 4 + 5a + 2a + a = 9a + 3a + 8 + -3a + 13 + -10 Combine like terms: 5a + 2a = 7a 4 + 7a + a = 9a + 3a + 8 + -3a + 13 + -10 Combine like terms: 7a + a = 8a 4 + 8a = 9a + 3a + 8 + -3a + 13 + -10 Reorder the terms: 4 + 8a = 8 + 13 + -10 + 9a + 3a + -3a Combine like terms: 8 + 13 = 21 4 + 8a = 21 + -10 + 9a + 3a + -3a Combine like terms: 21 + -10 = 11 4 + 8a = 11 + 9a + 3a + -3a Combine like terms: 9a + 3a = 12a 4 + 8a = 11 + 12a + -3a Combine like terms: 12a + -3a = 9a 4 + 8a = 11 + 9a Solving 4 + 8a = 11 + 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. 4 + 8a + -9a = 11 + 9a + -9a Combine like terms: 8a + -9a = -1a 4 + -1a = 11 + 9a + -9a Combine like terms: 9a + -9a = 0 4 + -1a = 11 + 0 4 + -1a = 11 Add '-4' to each side of the equation. 4 + -4 + -1a = 11 + -4 Combine like terms: 4 + -4 = 0 0 + -1a = 11 + -4 -1a = 11 + -4 Combine like terms: 11 + -4 = 7 -1a = 7 Divide each side by '-1'. a = -7 Simplifying a = -7
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