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Simplifying 7(5a + 1) + -9 = a + -1(a + 1) Reorder the terms: 7(1 + 5a) + -9 = a + -1(a + 1) (1 * 7 + 5a * 7) + -9 = a + -1(a + 1) (7 + 35a) + -9 = a + -1(a + 1) Reorder the terms: 7 + -9 + 35a = a + -1(a + 1) Combine like terms: 7 + -9 = -2 -2 + 35a = a + -1(a + 1) Reorder the terms: -2 + 35a = a + -1(1 + a) -2 + 35a = a + (1 * -1 + a * -1) -2 + 35a = a + (-1 + -1a) Reorder the terms: -2 + 35a = -1 + a + -1a Combine like terms: a + -1a = 0 -2 + 35a = -1 + 0 -2 + 35a = -1 Solving -2 + 35a = -1 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 35a = -1 + 2 Combine like terms: -2 + 2 = 0 0 + 35a = -1 + 2 35a = -1 + 2 Combine like terms: -1 + 2 = 1 35a = 1 Divide each side by '35'. a = 0.02857142857 Simplifying a = 0.02857142857
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