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Simplifying 5a + 7 = 6a + -1 Reorder the terms: 7 + 5a = 6a + -1 Reorder the terms: 7 + 5a = -1 + 6a Solving 7 + 5a = -1 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 7 + 5a + -6a = -1 + 6a + -6a Combine like terms: 5a + -6a = -1a 7 + -1a = -1 + 6a + -6a Combine like terms: 6a + -6a = 0 7 + -1a = -1 + 0 7 + -1a = -1 Add '-7' to each side of the equation. 7 + -7 + -1a = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -1a = -1 + -7 -1a = -1 + -7 Combine like terms: -1 + -7 = -8 -1a = -8 Divide each side by '-1'. a = 8 Simplifying a = 8
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