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Simplifying 7a + 7 = -1a + 31 Reorder the terms: 7 + 7a = -1a + 31 Reorder the terms: 7 + 7a = 31 + -1a Solving 7 + 7a = 31 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 7 + 7a + a = 31 + -1a + a Combine like terms: 7a + a = 8a 7 + 8a = 31 + -1a + a Combine like terms: -1a + a = 0 7 + 8a = 31 + 0 7 + 8a = 31 Add '-7' to each side of the equation. 7 + -7 + 8a = 31 + -7 Combine like terms: 7 + -7 = 0 0 + 8a = 31 + -7 8a = 31 + -7 Combine like terms: 31 + -7 = 24 8a = 24 Divide each side by '8'. a = 3 Simplifying a = 3
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