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Simplifying 7a + 7 = 9a + 1 Reorder the terms: 7 + 7a = 9a + 1 Reorder the terms: 7 + 7a = 1 + 9a Solving 7 + 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. 7 + 7a + -9a = 1 + 9a + -9a Combine like terms: 7a + -9a = -2a 7 + -2a = 1 + 9a + -9a Combine like terms: 9a + -9a = 0 7 + -2a = 1 + 0 7 + -2a = 1 Add '-7' to each side of the equation. 7 + -7 + -2a = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -2a = 1 + -7 -2a = 1 + -7 Combine like terms: 1 + -7 = -6 -2a = -6 Divide each side by '-2'. a = 3 Simplifying a = 3
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