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Simplifying 9(a + 1.4b) + 8(b + -16a) = 0 (a * 9 + 1.4b * 9) + 8(b + -16a) = 0 (9a + 12.6b) + 8(b + -16a) = 0 Reorder the terms: 9a + 12.6b + 8(-16a + b) = 0 9a + 12.6b + (-16a * 8 + b * 8) = 0 9a + 12.6b + (-128a + 8b) = 0 Reorder the terms: 9a + -128a + 12.6b + 8b = 0 Combine like terms: 9a + -128a = -119a -119a + 12.6b + 8b = 0 Combine like terms: 12.6b + 8b = 20.6b -119a + 20.6b = 0 Solving -119a + 20.6b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20.6b' to each side of the equation. -119a + 20.6b + -20.6b = 0 + -20.6b Combine like terms: 20.6b + -20.6b = 0.0 -119a + 0.0 = 0 + -20.6b -119a = 0 + -20.6b Remove the zero: -119a = -20.6b Divide each side by '-119'. a = 0.1731092437b Simplifying a = 0.1731092437b
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