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Simplifying 5a + -12a + 2b + -3b = 0 Combine like terms: 5a + -12a = -7a -7a + 2b + -3b = 0 Combine like terms: 2b + -3b = -1b -7a + -1b = 0 Solving -7a + -1b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. -7a + -1b + b = 0 + b Combine like terms: -1b + b = 0 -7a + 0 = 0 + b -7a = 0 + b Remove the zero: -7a = b Divide each side by '-7'. a = -0.1428571429b Simplifying a = -0.1428571429b
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