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Simplifying -8(2a + -3b) + -1(6b + -4a) = 0 (2a * -8 + -3b * -8) + -1(6b + -4a) = 0 (-16a + 24b) + -1(6b + -4a) = 0 Reorder the terms: -16a + 24b + -1(-4a + 6b) = 0 -16a + 24b + (-4a * -1 + 6b * -1) = 0 -16a + 24b + (4a + -6b) = 0 Reorder the terms: -16a + 4a + 24b + -6b = 0 Combine like terms: -16a + 4a = -12a -12a + 24b + -6b = 0 Combine like terms: 24b + -6b = 18b -12a + 18b = 0 Solving -12a + 18b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18b' to each side of the equation. -12a + 18b + -18b = 0 + -18b Combine like terms: 18b + -18b = 0 -12a + 0 = 0 + -18b -12a = 0 + -18b Remove the zero: -12a = -18b Divide each side by '-12'. a = 1.5b Simplifying a = 1.5b
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