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