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Simplifying 9(a + 1) = [a + -1(4 + -1a)] Reorder the terms: 9(1 + a) = [a + -1(4 + -1a)] (1 * 9 + a * 9) = [a + -1(4 + -1a)] (9 + 9a) = [a + -1(4 + -1a)] 9 + 9a = [a + (4 * -1 + -1a * -1)] 9 + 9a = [a + (-4 + 1a)] Reorder the terms: 9 + 9a = [-4 + a + 1a] Combine like terms: a + 1a = 2a 9 + 9a = [-4 + 2a] Remove brackets around [-4 + 2a] 9 + 9a = -4 + 2a Solving 9 + 9a = -4 + 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. 9 + 9a + -2a = -4 + 2a + -2a Combine like terms: 9a + -2a = 7a 9 + 7a = -4 + 2a + -2a Combine like terms: 2a + -2a = 0 9 + 7a = -4 + 0 9 + 7a = -4 Add '-9' to each side of the equation. 9 + -9 + 7a = -4 + -9 Combine like terms: 9 + -9 = 0 0 + 7a = -4 + -9 7a = -4 + -9 Combine like terms: -4 + -9 = -13 7a = -13 Divide each side by '7'. a = -1.857142857 Simplifying a = -1.857142857
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