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Simplifying 10(4a + 5b) + -8(6a + 3b) = 0 (4a * 10 + 5b * 10) + -8(6a + 3b) = 0 (40a + 50b) + -8(6a + 3b) = 0 40a + 50b + (6a * -8 + 3b * -8) = 0 40a + 50b + (-48a + -24b) = 0 Reorder the terms: 40a + -48a + 50b + -24b = 0 Combine like terms: 40a + -48a = -8a -8a + 50b + -24b = 0 Combine like terms: 50b + -24b = 26b -8a + 26b = 0 Solving -8a + 26b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-26b' to each side of the equation. -8a + 26b + -26b = 0 + -26b Combine like terms: 26b + -26b = 0 -8a + 0 = 0 + -26b -8a = 0 + -26b Remove the zero: -8a = -26b Divide each side by '-8'. a = 3.25b Simplifying a = 3.25b
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