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Simplifying 5(2a + 8b) + -3a + -10b = 0 (2a * 5 + 8b * 5) + -3a + -10b = 0 (10a + 40b) + -3a + -10b = 0 Reorder the terms: 10a + -3a + 40b + -10b = 0 Combine like terms: 10a + -3a = 7a 7a + 40b + -10b = 0 Combine like terms: 40b + -10b = 30b 7a + 30b = 0 Solving 7a + 30b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-30b' to each side of the equation. 7a + 30b + -30b = 0 + -30b Combine like terms: 30b + -30b = 0 7a + 0 = 0 + -30b 7a = 0 + -30b Remove the zero: 7a = -30b Divide each side by '7'. a = -4.285714286b Simplifying a = -4.285714286b
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