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Simplifying a + -2 + 6a = 3a + 14 Reorder the terms: -2 + a + 6a = 3a + 14 Combine like terms: a + 6a = 7a -2 + 7a = 3a + 14 Reorder the terms: -2 + 7a = 14 + 3a Solving -2 + 7a = 14 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -2 + 7a + -3a = 14 + 3a + -3a Combine like terms: 7a + -3a = 4a -2 + 4a = 14 + 3a + -3a Combine like terms: 3a + -3a = 0 -2 + 4a = 14 + 0 -2 + 4a = 14 Add '2' to each side of the equation. -2 + 2 + 4a = 14 + 2 Combine like terms: -2 + 2 = 0 0 + 4a = 14 + 2 4a = 14 + 2 Combine like terms: 14 + 2 = 16 4a = 16 Divide each side by '4'. a = 4 Simplifying a = 4
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