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Simplifying 3a + -7 = 9 + a Reorder the terms: -7 + 3a = 9 + a Solving -7 + 3a = 9 + 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. -7 + 3a + -1a = 9 + a + -1a Combine like terms: 3a + -1a = 2a -7 + 2a = 9 + a + -1a Combine like terms: a + -1a = 0 -7 + 2a = 9 + 0 -7 + 2a = 9 Add '7' to each side of the equation. -7 + 7 + 2a = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 2a = 9 + 7 2a = 9 + 7 Combine like terms: 9 + 7 = 16 2a = 16 Divide each side by '2'. a = 8 Simplifying a = 8
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