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Simplifying 7a + 5 = 9a + 1 Reorder the terms: 5 + 7a = 9a + 1 Reorder the terms: 5 + 7a = 1 + 9a Solving 5 + 7a = 1 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 5 + 7a + -9a = 1 + 9a + -9a Combine like terms: 7a + -9a = -2a 5 + -2a = 1 + 9a + -9a Combine like terms: 9a + -9a = 0 5 + -2a = 1 + 0 5 + -2a = 1 Add '-5' to each side of the equation. 5 + -5 + -2a = 1 + -5 Combine like terms: 5 + -5 = 0 0 + -2a = 1 + -5 -2a = 1 + -5 Combine like terms: 1 + -5 = -4 -2a = -4 Divide each side by '-2'. a = 2 Simplifying a = 2
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