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Simplifying 9(a + 1.46) + 8(b + -16a) = 0 Reorder the terms: 9(1.46 + a) + 8(b + -16a) = 0 (1.46 * 9 + a * 9) + 8(b + -16a) = 0 (13.14 + 9a) + 8(b + -16a) = 0 Reorder the terms: 13.14 + 9a + 8(-16a + b) = 0 13.14 + 9a + (-16a * 8 + b * 8) = 0 13.14 + 9a + (-128a + 8b) = 0 Combine like terms: 9a + -128a = -119a 13.14 + -119a + 8b = 0 Solving 13.14 + -119a + 8b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13.14' to each side of the equation. 13.14 + -119a + -13.14 + 8b = 0 + -13.14 Reorder the terms: 13.14 + -13.14 + -119a + 8b = 0 + -13.14 Combine like terms: 13.14 + -13.14 = 0.00 0.00 + -119a + 8b = 0 + -13.14 -119a + 8b = 0 + -13.14 Combine like terms: 0 + -13.14 = -13.14 -119a + 8b = -13.14 Add '-8b' to each side of the equation. -119a + 8b + -8b = -13.14 + -8b Combine like terms: 8b + -8b = 0 -119a + 0 = -13.14 + -8b -119a = -13.14 + -8b Divide each side by '-119'. a = 0.1104201681 + 0.06722689076b Simplifying a = 0.1104201681 + 0.06722689076b
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