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Simplifying -3(2a + -4b) + -7(a + -1b) = 0 (2a * -3 + -4b * -3) + -7(a + -1b) = 0 (-6a + 12b) + -7(a + -1b) = 0 -6a + 12b + (a * -7 + -1b * -7) = 0 -6a + 12b + (-7a + 7b) = 0 Reorder the terms: -6a + -7a + 12b + 7b = 0 Combine like terms: -6a + -7a = -13a -13a + 12b + 7b = 0 Combine like terms: 12b + 7b = 19b -13a + 19b = 0 Solving -13a + 19b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-19b' to each side of the equation. -13a + 19b + -19b = 0 + -19b Combine like terms: 19b + -19b = 0 -13a + 0 = 0 + -19b -13a = 0 + -19b Remove the zero: -13a = -19b Divide each side by '-13'. a = 1.461538462b Simplifying a = 1.461538462b
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