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Simplifying 9 + -3(8b + -2a) + 7(2b + -4a) = 0 Reorder the terms: 9 + -3(-2a + 8b) + 7(2b + -4a) = 0 9 + (-2a * -3 + 8b * -3) + 7(2b + -4a) = 0 9 + (6a + -24b) + 7(2b + -4a) = 0 Reorder the terms: 9 + 6a + -24b + 7(-4a + 2b) = 0 9 + 6a + -24b + (-4a * 7 + 2b * 7) = 0 9 + 6a + -24b + (-28a + 14b) = 0 Reorder the terms: 9 + 6a + -28a + -24b + 14b = 0 Combine like terms: 6a + -28a = -22a 9 + -22a + -24b + 14b = 0 Combine like terms: -24b + 14b = -10b 9 + -22a + -10b = 0 Solving 9 + -22a + -10b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -22a + -9 + -10b = 0 + -9 Reorder the terms: 9 + -9 + -22a + -10b = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -22a + -10b = 0 + -9 -22a + -10b = 0 + -9 Combine like terms: 0 + -9 = -9 -22a + -10b = -9 Add '10b' to each side of the equation. -22a + -10b + 10b = -9 + 10b Combine like terms: -10b + 10b = 0 -22a + 0 = -9 + 10b -22a = -9 + 10b Divide each side by '-22'. a = 0.4090909091 + -0.4545454545b Simplifying a = 0.4090909091 + -0.4545454545b
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