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