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Simplifying 13 + 6a = 8a + -1 Reorder the terms: 13 + 6a = -1 + 8a Solving 13 + 6a = -1 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 13 + 6a + -8a = -1 + 8a + -8a Combine like terms: 6a + -8a = -2a 13 + -2a = -1 + 8a + -8a Combine like terms: 8a + -8a = 0 13 + -2a = -1 + 0 13 + -2a = -1 Add '-13' to each side of the equation. 13 + -13 + -2a = -1 + -13 Combine like terms: 13 + -13 = 0 0 + -2a = -1 + -13 -2a = -1 + -13 Combine like terms: -1 + -13 = -14 -2a = -14 Divide each side by '-2'. a = 7 Simplifying a = 7
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