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Simplifying 9(a + 14) + 8(b + -16) = 0 Reorder the terms: 9(14 + a) + 8(b + -16) = 0 (14 * 9 + a * 9) + 8(b + -16) = 0 (126 + 9a) + 8(b + -16) = 0 Reorder the terms: 126 + 9a + 8(-16 + b) = 0 126 + 9a + (-16 * 8 + b * 8) = 0 126 + 9a + (-128 + 8b) = 0 Reorder the terms: 126 + -128 + 9a + 8b = 0 Combine like terms: 126 + -128 = -2 -2 + 9a + 8b = 0 Solving -2 + 9a + 8b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 9a + 2 + 8b = 0 + 2 Reorder the terms: -2 + 2 + 9a + 8b = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 9a + 8b = 0 + 2 9a + 8b = 0 + 2 Combine like terms: 0 + 2 = 2 9a + 8b = 2 Add '-8b' to each side of the equation. 9a + 8b + -8b = 2 + -8b Combine like terms: 8b + -8b = 0 9a + 0 = 2 + -8b 9a = 2 + -8b Divide each side by '9'. a = 0.2222222222 + -0.8888888889b Simplifying a = 0.2222222222 + -0.8888888889b
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