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Simplifying 3a + -5 = 7 + -1a Reorder the terms: -5 + 3a = 7 + -1a Solving -5 + 3a = 7 + -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. -5 + 3a + a = 7 + -1a + a Combine like terms: 3a + a = 4a -5 + 4a = 7 + -1a + a Combine like terms: -1a + a = 0 -5 + 4a = 7 + 0 -5 + 4a = 7 Add '5' to each side of the equation. -5 + 5 + 4a = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 4a = 7 + 5 4a = 7 + 5 Combine like terms: 7 + 5 = 12 4a = 12 Divide each side by '4'. a = 3 Simplifying a = 3
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