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Simplifying 19a + -8(3a + -5) = 0 Reorder the terms: 19a + -8(-5 + 3a) = 0 19a + (-5 * -8 + 3a * -8) = 0 19a + (40 + -24a) = 0 Reorder the terms: 40 + 19a + -24a = 0 Combine like terms: 19a + -24a = -5a 40 + -5a = 0 Solving 40 + -5a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -5a = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -5a = 0 + -40 -5a = 0 + -40 Combine like terms: 0 + -40 = -40 -5a = -40 Divide each side by '-5'. a = 8 Simplifying a = 8
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