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Simplifying 7 + -1(4a + -3) + -1(2a + 1) * 9 = 2(a + -9) Reorder the terms: 7 + -1(-3 + 4a) + -1(2a + 1) * 9 = 2(a + -9) 7 + (-3 * -1 + 4a * -1) + -1(2a + 1) * 9 = 2(a + -9) 7 + (3 + -4a) + -1(2a + 1) * 9 = 2(a + -9) Reorder the terms: 7 + 3 + -4a + -1(1 + 2a) * 9 = 2(a + -9) Reorder the terms for easier multiplication: 7 + 3 + -4a + -1 * 9(1 + 2a) = 2(a + -9) Multiply -1 * 9 7 + 3 + -4a + -9(1 + 2a) = 2(a + -9) 7 + 3 + -4a + (1 * -9 + 2a * -9) = 2(a + -9) 7 + 3 + -4a + (-9 + -18a) = 2(a + -9) Reorder the terms: 7 + 3 + -9 + -4a + -18a = 2(a + -9) Combine like terms: 7 + 3 = 10 10 + -9 + -4a + -18a = 2(a + -9) Combine like terms: 10 + -9 = 1 1 + -4a + -18a = 2(a + -9) Combine like terms: -4a + -18a = -22a 1 + -22a = 2(a + -9) Reorder the terms: 1 + -22a = 2(-9 + a) 1 + -22a = (-9 * 2 + a * 2) 1 + -22a = (-18 + 2a) Solving 1 + -22a = -18 + 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. 1 + -22a + -2a = -18 + 2a + -2a Combine like terms: -22a + -2a = -24a 1 + -24a = -18 + 2a + -2a Combine like terms: 2a + -2a = 0 1 + -24a = -18 + 0 1 + -24a = -18 Add '-1' to each side of the equation. 1 + -1 + -24a = -18 + -1 Combine like terms: 1 + -1 = 0 0 + -24a = -18 + -1 -24a = -18 + -1 Combine like terms: -18 + -1 = -19 -24a = -19 Divide each side by '-24'. a = 0.7916666667 Simplifying a = 0.7916666667
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