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Simplifying 9a + -1(a + 2) = a + 19 Reorder the terms: 9a + -1(2 + a) = a + 19 9a + (2 * -1 + a * -1) = a + 19 9a + (-2 + -1a) = a + 19 Reorder the terms: -2 + 9a + -1a = a + 19 Combine like terms: 9a + -1a = 8a -2 + 8a = a + 19 Reorder the terms: -2 + 8a = 19 + a Solving -2 + 8a = 19 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -2 + 8a + -1a = 19 + a + -1a Combine like terms: 8a + -1a = 7a -2 + 7a = 19 + a + -1a Combine like terms: a + -1a = 0 -2 + 7a = 19 + 0 -2 + 7a = 19 Add '2' to each side of the equation. -2 + 2 + 7a = 19 + 2 Combine like terms: -2 + 2 = 0 0 + 7a = 19 + 2 7a = 19 + 2 Combine like terms: 19 + 2 = 21 7a = 21 Divide each side by '7'. a = 3 Simplifying a = 3
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