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Simplifying 3a + 2b + -2(8a + -5b) = 0 3a + 2b + (8a * -2 + -5b * -2) = 0 3a + 2b + (-16a + 10b) = 0 Reorder the terms: 3a + -16a + 2b + 10b = 0 Combine like terms: 3a + -16a = -13a -13a + 2b + 10b = 0 Combine like terms: 2b + 10b = 12b -13a + 12b = 0 Solving -13a + 12b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12b' to each side of the equation. -13a + 12b + -12b = 0 + -12b Combine like terms: 12b + -12b = 0 -13a + 0 = 0 + -12b -13a = 0 + -12b Remove the zero: -13a = -12b Divide each side by '-13'. a = 0.9230769231b Simplifying a = 0.9230769231b
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