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Simplifying 5a + 30 = 6a + 16 Reorder the terms: 30 + 5a = 6a + 16 Reorder the terms: 30 + 5a = 16 + 6a Solving 30 + 5a = 16 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 30 + 5a + -6a = 16 + 6a + -6a Combine like terms: 5a + -6a = -1a 30 + -1a = 16 + 6a + -6a Combine like terms: 6a + -6a = 0 30 + -1a = 16 + 0 30 + -1a = 16 Add '-30' to each side of the equation. 30 + -30 + -1a = 16 + -30 Combine like terms: 30 + -30 = 0 0 + -1a = 16 + -30 -1a = 16 + -30 Combine like terms: 16 + -30 = -14 -1a = -14 Divide each side by '-1'. a = 14 Simplifying a = 14
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