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Simplifying a + 22 = 5a + 14 Reorder the terms: 22 + a = 5a + 14 Reorder the terms: 22 + a = 14 + 5a Solving 22 + a = 14 + 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. 22 + a + -5a = 14 + 5a + -5a Combine like terms: a + -5a = -4a 22 + -4a = 14 + 5a + -5a Combine like terms: 5a + -5a = 0 22 + -4a = 14 + 0 22 + -4a = 14 Add '-22' to each side of the equation. 22 + -22 + -4a = 14 + -22 Combine like terms: 22 + -22 = 0 0 + -4a = 14 + -22 -4a = 14 + -22 Combine like terms: 14 + -22 = -8 -4a = -8 Divide each side by '-4'. a = 2 Simplifying a = 2
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