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Simplifying a + 14 = 4a + 6 Reorder the terms: 14 + a = 4a + 6 Reorder the terms: 14 + a = 6 + 4a Solving 14 + a = 6 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 14 + a + -4a = 6 + 4a + -4a Combine like terms: a + -4a = -3a 14 + -3a = 6 + 4a + -4a Combine like terms: 4a + -4a = 0 14 + -3a = 6 + 0 14 + -3a = 6 Add '-14' to each side of the equation. 14 + -14 + -3a = 6 + -14 Combine like terms: 14 + -14 = 0 0 + -3a = 6 + -14 -3a = 6 + -14 Combine like terms: 6 + -14 = -8 -3a = -8 Divide each side by '-3'. a = 2.666666667 Simplifying a = 2.666666667
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