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Simplifying -7 + 9a = 3 + 6a + 20 Reorder the terms: -7 + 9a = 3 + 20 + 6a Combine like terms: 3 + 20 = 23 -7 + 9a = 23 + 6a Solving -7 + 9a = 23 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -7 + 9a + -6a = 23 + 6a + -6a Combine like terms: 9a + -6a = 3a -7 + 3a = 23 + 6a + -6a Combine like terms: 6a + -6a = 0 -7 + 3a = 23 + 0 -7 + 3a = 23 Add '7' to each side of the equation. -7 + 7 + 3a = 23 + 7 Combine like terms: -7 + 7 = 0 0 + 3a = 23 + 7 3a = 23 + 7 Combine like terms: 23 + 7 = 30 3a = 30 Divide each side by '3'. a = 10 Simplifying a = 10
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