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Simplifying 7a + 1 = 9a + -6 Reorder the terms: 1 + 7a = 9a + -6 Reorder the terms: 1 + 7a = -6 + 9a Solving 1 + 7a = -6 + 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. 1 + 7a + -9a = -6 + 9a + -9a Combine like terms: 7a + -9a = -2a 1 + -2a = -6 + 9a + -9a Combine like terms: 9a + -9a = 0 1 + -2a = -6 + 0 1 + -2a = -6 Add '-1' to each side of the equation. 1 + -1 + -2a = -6 + -1 Combine like terms: 1 + -1 = 0 0 + -2a = -6 + -1 -2a = -6 + -1 Combine like terms: -6 + -1 = -7 -2a = -7 Divide each side by '-2'. a = 3.5 Simplifying a = 3.5
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