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Simplifying 1 + 6a = 13 + 5a + -3a Combine like terms: 5a + -3a = 2a 1 + 6a = 13 + 2a Solving 1 + 6a = 13 + 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 = 13 + 2a + -2a Combine like terms: 6a + -2a = 4a 1 + 4a = 13 + 2a + -2a Combine like terms: 2a + -2a = 0 1 + 4a = 13 + 0 1 + 4a = 13 Add '-1' to each side of the equation. 1 + -1 + 4a = 13 + -1 Combine like terms: 1 + -1 = 0 0 + 4a = 13 + -1 4a = 13 + -1 Combine like terms: 13 + -1 = 12 4a = 12 Divide each side by '4'. a = 3 Simplifying a = 3
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