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Simplifying -4(3a + 5b) + -7(2a + -5b) = 0 (3a * -4 + 5b * -4) + -7(2a + -5b) = 0 (-12a + -20b) + -7(2a + -5b) = 0 -12a + -20b + (2a * -7 + -5b * -7) = 0 -12a + -20b + (-14a + 35b) = 0 Reorder the terms: -12a + -14a + -20b + 35b = 0 Combine like terms: -12a + -14a = -26a -26a + -20b + 35b = 0 Combine like terms: -20b + 35b = 15b -26a + 15b = 0 Solving -26a + 15b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15b' to each side of the equation. -26a + 15b + -15b = 0 + -15b Combine like terms: 15b + -15b = 0 -26a + 0 = 0 + -15b -26a = 0 + -15b Remove the zero: -26a = -15b Divide each side by '-26'. a = 0.5769230769b Simplifying a = 0.5769230769b
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