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Simplifying 2a + -1 + 5a = 9 + 4a + 27 Reorder the terms: -1 + 2a + 5a = 9 + 4a + 27 Combine like terms: 2a + 5a = 7a -1 + 7a = 9 + 4a + 27 Reorder the terms: -1 + 7a = 9 + 27 + 4a Combine like terms: 9 + 27 = 36 -1 + 7a = 36 + 4a Solving -1 + 7a = 36 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -1 + 7a + -4a = 36 + 4a + -4a Combine like terms: 7a + -4a = 3a -1 + 3a = 36 + 4a + -4a Combine like terms: 4a + -4a = 0 -1 + 3a = 36 + 0 -1 + 3a = 36 Add '1' to each side of the equation. -1 + 1 + 3a = 36 + 1 Combine like terms: -1 + 1 = 0 0 + 3a = 36 + 1 3a = 36 + 1 Combine like terms: 36 + 1 = 37 3a = 37 Divide each side by '3'. a = 12.33333333 Simplifying a = 12.33333333
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