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Simplifying 3(9a + 8b + 7) + 4(5a + 9) = 0 Reorder the terms: 3(7 + 9a + 8b) + 4(5a + 9) = 0 (7 * 3 + 9a * 3 + 8b * 3) + 4(5a + 9) = 0 (21 + 27a + 24b) + 4(5a + 9) = 0 Reorder the terms: 21 + 27a + 24b + 4(9 + 5a) = 0 21 + 27a + 24b + (9 * 4 + 5a * 4) = 0 21 + 27a + 24b + (36 + 20a) = 0 Reorder the terms: 21 + 36 + 27a + 20a + 24b = 0 Combine like terms: 21 + 36 = 57 57 + 27a + 20a + 24b = 0 Combine like terms: 27a + 20a = 47a 57 + 47a + 24b = 0 Solving 57 + 47a + 24b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-57' to each side of the equation. 57 + 47a + -57 + 24b = 0 + -57 Reorder the terms: 57 + -57 + 47a + 24b = 0 + -57 Combine like terms: 57 + -57 = 0 0 + 47a + 24b = 0 + -57 47a + 24b = 0 + -57 Combine like terms: 0 + -57 = -57 47a + 24b = -57 Add '-24b' to each side of the equation. 47a + 24b + -24b = -57 + -24b Combine like terms: 24b + -24b = 0 47a + 0 = -57 + -24b 47a = -57 + -24b Divide each side by '47'. a = -1.212765957 + -0.5106382979b Simplifying a = -1.212765957 + -0.5106382979b
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