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Simplifying 10(4a + 5b) + -8(6a + 3) = 0 (4a * 10 + 5b * 10) + -8(6a + 3) = 0 (40a + 50b) + -8(6a + 3) = 0 Reorder the terms: 40a + 50b + -8(3 + 6a) = 0 40a + 50b + (3 * -8 + 6a * -8) = 0 40a + 50b + (-24 + -48a) = 0 Reorder the terms: -24 + 40a + -48a + 50b = 0 Combine like terms: 40a + -48a = -8a -24 + -8a + 50b = 0 Solving -24 + -8a + 50b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '24' to each side of the equation. -24 + -8a + 24 + 50b = 0 + 24 Reorder the terms: -24 + 24 + -8a + 50b = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -8a + 50b = 0 + 24 -8a + 50b = 0 + 24 Combine like terms: 0 + 24 = 24 -8a + 50b = 24 Add '-50b' to each side of the equation. -8a + 50b + -50b = 24 + -50b Combine like terms: 50b + -50b = 0 -8a + 0 = 24 + -50b -8a = 24 + -50b Divide each side by '-8'. a = -3 + 6.25b Simplifying a = -3 + 6.25b
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