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Simplifying 5a + 7b + -4(3a + -2b) = 0 5a + 7b + (3a * -4 + -2b * -4) = 0 5a + 7b + (-12a + 8b) = 0 Reorder the terms: 5a + -12a + 7b + 8b = 0 Combine like terms: 5a + -12a = -7a -7a + 7b + 8b = 0 Combine like terms: 7b + 8b = 15b -7a + 15b = 0 Solving -7a + 15b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15b' to each side of the equation. -7a + 15b + -15b = 0 + -15b Combine like terms: 15b + -15b = 0 -7a + 0 = 0 + -15b -7a = 0 + -15b Remove the zero: -7a = -15b Divide each side by '-7'. a = 2.142857143b Simplifying a = 2.142857143b
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