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Simplifying 2a + 8 = 3a + 10 Reorder the terms: 8 + 2a = 3a + 10 Reorder the terms: 8 + 2a = 10 + 3a Solving 8 + 2a = 10 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 8 + 2a + -3a = 10 + 3a + -3a Combine like terms: 2a + -3a = -1a 8 + -1a = 10 + 3a + -3a Combine like terms: 3a + -3a = 0 8 + -1a = 10 + 0 8 + -1a = 10 Add '-8' to each side of the equation. 8 + -8 + -1a = 10 + -8 Combine like terms: 8 + -8 = 0 0 + -1a = 10 + -8 -1a = 10 + -8 Combine like terms: 10 + -8 = 2 -1a = 2 Divide each side by '-1'. a = -2 Simplifying a = -2
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