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Simplifying 5a + 3b + -1(7a + 6b) = 0 5a + 3b + (7a * -1 + 6b * -1) = 0 5a + 3b + (-7a + -6b) = 0 Reorder the terms: 5a + -7a + 3b + -6b = 0 Combine like terms: 5a + -7a = -2a -2a + 3b + -6b = 0 Combine like terms: 3b + -6b = -3b -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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