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Simplifying 9a + 5(a + -1) = 10a + 11 Reorder the terms: 9a + 5(-1 + a) = 10a + 11 9a + (-1 * 5 + a * 5) = 10a + 11 9a + (-5 + 5a) = 10a + 11 Reorder the terms: -5 + 9a + 5a = 10a + 11 Combine like terms: 9a + 5a = 14a -5 + 14a = 10a + 11 Reorder the terms: -5 + 14a = 11 + 10a Solving -5 + 14a = 11 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -5 + 14a + -10a = 11 + 10a + -10a Combine like terms: 14a + -10a = 4a -5 + 4a = 11 + 10a + -10a Combine like terms: 10a + -10a = 0 -5 + 4a = 11 + 0 -5 + 4a = 11 Add '5' to each side of the equation. -5 + 5 + 4a = 11 + 5 Combine like terms: -5 + 5 = 0 0 + 4a = 11 + 5 4a = 11 + 5 Combine like terms: 11 + 5 = 16 4a = 16 Divide each side by '4'. a = 4 Simplifying a = 4
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