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Simplifying 3a + -9 = 7 + 3a + -1a Reorder the terms: -9 + 3a = 7 + 3a + -1a Combine like terms: 3a + -1a = 2a -9 + 3a = 7 + 2a Solving -9 + 3a = 7 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -9 + 3a + -2a = 7 + 2a + -2a Combine like terms: 3a + -2a = 1a -9 + 1a = 7 + 2a + -2a Combine like terms: 2a + -2a = 0 -9 + 1a = 7 + 0 -9 + 1a = 7 Add '9' to each side of the equation. -9 + 9 + 1a = 7 + 9 Combine like terms: -9 + 9 = 0 0 + 1a = 7 + 9 1a = 7 + 9 Combine like terms: 7 + 9 = 16 1a = 16 Divide each side by '1'. a = 16 Simplifying a = 16
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