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Simplifying a + 14 = 5a + -2 Reorder the terms: 14 + a = 5a + -2 Reorder the terms: 14 + a = -2 + 5a Solving 14 + a = -2 + 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. 14 + a + -5a = -2 + 5a + -5a Combine like terms: a + -5a = -4a 14 + -4a = -2 + 5a + -5a Combine like terms: 5a + -5a = 0 14 + -4a = -2 + 0 14 + -4a = -2 Add '-14' to each side of the equation. 14 + -14 + -4a = -2 + -14 Combine like terms: 14 + -14 = 0 0 + -4a = -2 + -14 -4a = -2 + -14 Combine like terms: -2 + -14 = -16 -4a = -16 Divide each side by '-4'. a = 4 Simplifying a = 4
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