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Simplifying 1 + 5a = a + 9 + -7 + 15 Reorder the terms: 1 + 5a = 9 + -7 + 15 + a Combine like terms: 9 + -7 = 2 1 + 5a = 2 + 15 + a Combine like terms: 2 + 15 = 17 1 + 5a = 17 + a Solving 1 + 5a = 17 + 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. 1 + 5a + -1a = 17 + a + -1a Combine like terms: 5a + -1a = 4a 1 + 4a = 17 + a + -1a Combine like terms: a + -1a = 0 1 + 4a = 17 + 0 1 + 4a = 17 Add '-1' to each side of the equation. 1 + -1 + 4a = 17 + -1 Combine like terms: 1 + -1 = 0 0 + 4a = 17 + -1 4a = 17 + -1 Combine like terms: 17 + -1 = 16 4a = 16 Divide each side by '4'. a = 4 Simplifying a = 4
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