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Simplifying 4(-4a + 3b) + -8(6a + -4b) = 0 (-4a * 4 + 3b * 4) + -8(6a + -4b) = 0 (-16a + 12b) + -8(6a + -4b) = 0 -16a + 12b + (6a * -8 + -4b * -8) = 0 -16a + 12b + (-48a + 32b) = 0 Reorder the terms: -16a + -48a + 12b + 32b = 0 Combine like terms: -16a + -48a = -64a -64a + 12b + 32b = 0 Combine like terms: 12b + 32b = 44b -64a + 44b = 0 Solving -64a + 44b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-44b' to each side of the equation. -64a + 44b + -44b = 0 + -44b Combine like terms: 44b + -44b = 0 -64a + 0 = 0 + -44b -64a = 0 + -44b Remove the zero: -64a = -44b Divide each side by '-64'. a = 0.6875b Simplifying a = 0.6875b
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