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Simplifying 9a + 8b + -8(5a + -3b) = 0 9a + 8b + (5a * -8 + -3b * -8) = 0 9a + 8b + (-40a + 24b) = 0 Reorder the terms: 9a + -40a + 8b + 24b = 0 Combine like terms: 9a + -40a = -31a -31a + 8b + 24b = 0 Combine like terms: 8b + 24b = 32b -31a + 32b = 0 Solving -31a + 32b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-32b' to each side of the equation. -31a + 32b + -32b = 0 + -32b Combine like terms: 32b + -32b = 0 -31a + 0 = 0 + -32b -31a = 0 + -32b Remove the zero: -31a = -32b Divide each side by '-31'. a = 1.032258065b Simplifying a = 1.032258065b
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