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Simplifying 7 + 3a = -1 + -5a Solving 7 + 3a = -1 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 7 + 3a + 5a = -1 + -5a + 5a Combine like terms: 3a + 5a = 8a 7 + 8a = -1 + -5a + 5a Combine like terms: -5a + 5a = 0 7 + 8a = -1 + 0 7 + 8a = -1 Add '-7' to each side of the equation. 7 + -7 + 8a = -1 + -7 Combine like terms: 7 + -7 = 0 0 + 8a = -1 + -7 8a = -1 + -7 Combine like terms: -1 + -7 = -8 8a = -8 Divide each side by '8'. a = -1 Simplifying a = -1
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