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Simplifying -19(8a + 3b) = 0 (8a * -19 + 3b * -19) = 0 (-152a + -57b) = 0 Solving -152a + -57b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '57b' to each side of the equation. -152a + -57b + 57b = 0 + 57b Combine like terms: -57b + 57b = 0 -152a + 0 = 0 + 57b -152a = 0 + 57b Remove the zero: -152a = 57b Divide each side by '-152'. a = -0.375b Simplifying a = -0.375b
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