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Simplifying a + -6 = 14 + -3a Reorder the terms: -6 + a = 14 + -3a Solving -6 + a = 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. -6 + a + 3a = 14 + -3a + 3a Combine like terms: a + 3a = 4a -6 + 4a = 14 + -3a + 3a Combine like terms: -3a + 3a = 0 -6 + 4a = 14 + 0 -6 + 4a = 14 Add '6' to each side of the equation. -6 + 6 + 4a = 14 + 6 Combine like terms: -6 + 6 = 0 0 + 4a = 14 + 6 4a = 14 + 6 Combine like terms: 14 + 6 = 20 4a = 20 Divide each side by '4'. a = 5 Simplifying a = 5
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