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Simplifying 8a + -11 + a = 3 + 4a + -19 Reorder the terms: -11 + 8a + a = 3 + 4a + -19 Combine like terms: 8a + a = 9a -11 + 9a = 3 + 4a + -19 Reorder the terms: -11 + 9a = 3 + -19 + 4a Combine like terms: 3 + -19 = -16 -11 + 9a = -16 + 4a Solving -11 + 9a = -16 + 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. -11 + 9a + -4a = -16 + 4a + -4a Combine like terms: 9a + -4a = 5a -11 + 5a = -16 + 4a + -4a Combine like terms: 4a + -4a = 0 -11 + 5a = -16 + 0 -11 + 5a = -16 Add '11' to each side of the equation. -11 + 11 + 5a = -16 + 11 Combine like terms: -11 + 11 = 0 0 + 5a = -16 + 11 5a = -16 + 11 Combine like terms: -16 + 11 = -5 5a = -5 Divide each side by '5'. a = -1 Simplifying a = -1
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