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Simplifying 3a + -4 + 6a + 2 = 5a + 22 Reorder the terms: -4 + 2 + 3a + 6a = 5a + 22 Combine like terms: -4 + 2 = -2 -2 + 3a + 6a = 5a + 22 Combine like terms: 3a + 6a = 9a -2 + 9a = 5a + 22 Reorder the terms: -2 + 9a = 22 + 5a Solving -2 + 9a = 22 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -2 + 9a + -5a = 22 + 5a + -5a Combine like terms: 9a + -5a = 4a -2 + 4a = 22 + 5a + -5a Combine like terms: 5a + -5a = 0 -2 + 4a = 22 + 0 -2 + 4a = 22 Add '2' to each side of the equation. -2 + 2 + 4a = 22 + 2 Combine like terms: -2 + 2 = 0 0 + 4a = 22 + 2 4a = 22 + 2 Combine like terms: 22 + 2 = 24 4a = 24 Divide each side by '4'. a = 6 Simplifying a = 6
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