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Simplifying -1a + 14 = a + 6 Reorder the terms: 14 + -1a = a + 6 Reorder the terms: 14 + -1a = 6 + a Solving 14 + -1a = 6 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 14 + -1a + -1a = 6 + a + -1a Combine like terms: -1a + -1a = -2a 14 + -2a = 6 + a + -1a Combine like terms: a + -1a = 0 14 + -2a = 6 + 0 14 + -2a = 6 Add '-14' to each side of the equation. 14 + -14 + -2a = 6 + -14 Combine like terms: 14 + -14 = 0 0 + -2a = 6 + -14 -2a = 6 + -14 Combine like terms: 6 + -14 = -8 -2a = -8 Divide each side by '-2'. a = 4 Simplifying a = 4
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