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Simplifying 8(3a + -2b) + 13a + 19b = 0 (3a * 8 + -2b * 8) + 13a + 19b = 0 (24a + -16b) + 13a + 19b = 0 Reorder the terms: 24a + 13a + -16b + 19b = 0 Combine like terms: 24a + 13a = 37a 37a + -16b + 19b = 0 Combine like terms: -16b + 19b = 3b 37a + 3b = 0 Solving 37a + 3b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. 37a + 3b + -3b = 0 + -3b Combine like terms: 3b + -3b = 0 37a + 0 = 0 + -3b 37a = 0 + -3b Remove the zero: 37a = -3b Divide each side by '37'. a = -0.08108108108b Simplifying a = -0.08108108108b
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