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Simplifying 12 + -1(30b + -12a) = 0 Reorder the terms: 12 + -1(-12a + 30b) = 0 12 + (-12a * -1 + 30b * -1) = 0 12 + (12a + -30b) = 0 Solving 12 + 12a + -30b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 12a + -12 + -30b = 0 + -12 Reorder the terms: 12 + -12 + 12a + -30b = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 12a + -30b = 0 + -12 12a + -30b = 0 + -12 Combine like terms: 0 + -12 = -12 12a + -30b = -12 Add '30b' to each side of the equation. 12a + -30b + 30b = -12 + 30b Combine like terms: -30b + 30b = 0 12a + 0 = -12 + 30b 12a = -12 + 30b Divide each side by '12'. a = -1 + 2.5b Simplifying a = -1 + 2.5b
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