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Simplifying 7a + 1 = 3a + -9 Reorder the terms: 1 + 7a = 3a + -9 Reorder the terms: 1 + 7a = -9 + 3a Solving 1 + 7a = -9 + 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. 1 + 7a + -3a = -9 + 3a + -3a Combine like terms: 7a + -3a = 4a 1 + 4a = -9 + 3a + -3a Combine like terms: 3a + -3a = 0 1 + 4a = -9 + 0 1 + 4a = -9 Add '-1' to each side of the equation. 1 + -1 + 4a = -9 + -1 Combine like terms: 1 + -1 = 0 0 + 4a = -9 + -1 4a = -9 + -1 Combine like terms: -9 + -1 = -10 4a = -10 Divide each side by '4'. a = -2.5 Simplifying a = -2.5
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