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Simplifying -19 = a(9) + (11 + -4a) Reorder the terms for easier multiplication: -19 = 9a + (11 + -4a) Remove parenthesis around (11 + -4a) -19 = 9a + 11 + -4a Reorder the terms: -19 = 11 + 9a + -4a Combine like terms: 9a + -4a = 5a -19 = 11 + 5a Solving -19 = 11 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -19 + -5a = 11 + 5a + -5a Combine like terms: 5a + -5a = 0 -19 + -5a = 11 + 0 -19 + -5a = 11 Add '19' to each side of the equation. -19 + 19 + -5a = 11 + 19 Combine like terms: -19 + 19 = 0 0 + -5a = 11 + 19 -5a = 11 + 19 Combine like terms: 11 + 19 = 30 -5a = 30 Divide each side by '-5'. a = -6 Simplifying a = -6
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