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Simplifying 8a + -5 + 2a = 4a + -14 + 3 Reorder the terms: -5 + 8a + 2a = 4a + -14 + 3 Combine like terms: 8a + 2a = 10a -5 + 10a = 4a + -14 + 3 Reorder the terms: -5 + 10a = -14 + 3 + 4a Combine like terms: -14 + 3 = -11 -5 + 10a = -11 + 4a Solving -5 + 10a = -11 + 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. -5 + 10a + -4a = -11 + 4a + -4a Combine like terms: 10a + -4a = 6a -5 + 6a = -11 + 4a + -4a Combine like terms: 4a + -4a = 0 -5 + 6a = -11 + 0 -5 + 6a = -11 Add '5' to each side of the equation. -5 + 5 + 6a = -11 + 5 Combine like terms: -5 + 5 = 0 0 + 6a = -11 + 5 6a = -11 + 5 Combine like terms: -11 + 5 = -6 6a = -6 Divide each side by '6'. a = -1 Simplifying a = -1
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