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Simplifying -11 + a + 5a = -3 + 2a + 8 Combine like terms: a + 5a = 6a -11 + 6a = -3 + 2a + 8 Reorder the terms: -11 + 6a = -3 + 8 + 2a Combine like terms: -3 + 8 = 5 -11 + 6a = 5 + 2a Solving -11 + 6a = 5 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -11 + 6a + -2a = 5 + 2a + -2a Combine like terms: 6a + -2a = 4a -11 + 4a = 5 + 2a + -2a Combine like terms: 2a + -2a = 0 -11 + 4a = 5 + 0 -11 + 4a = 5 Add '11' to each side of the equation. -11 + 11 + 4a = 5 + 11 Combine like terms: -11 + 11 = 0 0 + 4a = 5 + 11 4a = 5 + 11 Combine like terms: 5 + 11 = 16 4a = 16 Divide each side by '4'. a = 4 Simplifying a = 4
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