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Simplifying 8(4a + 5b) + -3(a + 6b) = 0 (4a * 8 + 5b * 8) + -3(a + 6b) = 0 (32a + 40b) + -3(a + 6b) = 0 32a + 40b + (a * -3 + 6b * -3) = 0 32a + 40b + (-3a + -18b) = 0 Reorder the terms: 32a + -3a + 40b + -18b = 0 Combine like terms: 32a + -3a = 29a 29a + 40b + -18b = 0 Combine like terms: 40b + -18b = 22b 29a + 22b = 0 Solving 29a + 22b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-22b' to each side of the equation. 29a + 22b + -22b = 0 + -22b Combine like terms: 22b + -22b = 0 29a + 0 = 0 + -22b 29a = 0 + -22b Remove the zero: 29a = -22b Divide each side by '29'. a = -0.7586206897b Simplifying a = -0.7586206897b
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