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Simplifying 4a + -8 = 7 + a Reorder the terms: -8 + 4a = 7 + a Solving -8 + 4a = 7 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -8 + 4a + -1a = 7 + a + -1a Combine like terms: 4a + -1a = 3a -8 + 3a = 7 + a + -1a Combine like terms: a + -1a = 0 -8 + 3a = 7 + 0 -8 + 3a = 7 Add '8' to each side of the equation. -8 + 8 + 3a = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 3a = 7 + 8 3a = 7 + 8 Combine like terms: 7 + 8 = 15 3a = 15 Divide each side by '3'. a = 5 Simplifying a = 5
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