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Simplifying 7a + -1(5a + 3b) + -4a = 0 7a + (5a * -1 + 3b * -1) + -4a = 0 7a + (-5a + -3b) + -4a = 0 Reorder the terms: 7a + -5a + -4a + -3b = 0 Combine like terms: 7a + -5a = 2a 2a + -4a + -3b = 0 Combine like terms: 2a + -4a = -2a -2a + -3b = 0 Solving -2a + -3b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3b' to each side of the equation. -2a + -3b + 3b = 0 + 3b Combine like terms: -3b + 3b = 0 -2a + 0 = 0 + 3b -2a = 0 + 3b Remove the zero: -2a = 3b Divide each side by '-2'. a = -1.5b Simplifying a = -1.5b
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