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