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Simplifying 2(-3a + 2b) + -5(a + -2b) = 0 (-3a * 2 + 2b * 2) + -5(a + -2b) = 0 (-6a + 4b) + -5(a + -2b) = 0 -6a + 4b + (a * -5 + -2b * -5) = 0 -6a + 4b + (-5a + 10b) = 0 Reorder the terms: -6a + -5a + 4b + 10b = 0 Combine like terms: -6a + -5a = -11a -11a + 4b + 10b = 0 Combine like terms: 4b + 10b = 14b -11a + 14b = 0 Solving -11a + 14b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14b' to each side of the equation. -11a + 14b + -14b = 0 + -14b Combine like terms: 14b + -14b = 0 -11a + 0 = 0 + -14b -11a = 0 + -14b Remove the zero: -11a = -14b Divide each side by '-11'. a = 1.272727273b Simplifying a = 1.272727273b
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