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Simplifying 2a + 6 + 3a + 8 = 17a + -10 Reorder the terms: 6 + 8 + 2a + 3a = 17a + -10 Combine like terms: 6 + 8 = 14 14 + 2a + 3a = 17a + -10 Combine like terms: 2a + 3a = 5a 14 + 5a = 17a + -10 Reorder the terms: 14 + 5a = -10 + 17a Solving 14 + 5a = -10 + 17a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-17a' to each side of the equation. 14 + 5a + -17a = -10 + 17a + -17a Combine like terms: 5a + -17a = -12a 14 + -12a = -10 + 17a + -17a Combine like terms: 17a + -17a = 0 14 + -12a = -10 + 0 14 + -12a = -10 Add '-14' to each side of the equation. 14 + -14 + -12a = -10 + -14 Combine like terms: 14 + -14 = 0 0 + -12a = -10 + -14 -12a = -10 + -14 Combine like terms: -10 + -14 = -24 -12a = -24 Divide each side by '-12'. a = 2 Simplifying a = 2
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