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Simplifying a + 9 = 3a + -1 Reorder the terms: 9 + a = 3a + -1 Reorder the terms: 9 + a = -1 + 3a Solving 9 + a = -1 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 9 + a + -3a = -1 + 3a + -3a Combine like terms: a + -3a = -2a 9 + -2a = -1 + 3a + -3a Combine like terms: 3a + -3a = 0 9 + -2a = -1 + 0 9 + -2a = -1 Add '-9' to each side of the equation. 9 + -9 + -2a = -1 + -9 Combine like terms: 9 + -9 = 0 0 + -2a = -1 + -9 -2a = -1 + -9 Combine like terms: -1 + -9 = -10 -2a = -10 Divide each side by '-2'. a = 5 Simplifying a = 5
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