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Simplifying 12a + -1(4 + -4b) + -9 = 0 12a + (4 * -1 + -4b * -1) + -9 = 0 12a + (-4 + 4b) + -9 = 0 Reorder the terms: -4 + -9 + 12a + 4b = 0 Combine like terms: -4 + -9 = -13 -13 + 12a + 4b = 0 Solving -13 + 12a + 4b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 12a + 13 + 4b = 0 + 13 Reorder the terms: -13 + 13 + 12a + 4b = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 12a + 4b = 0 + 13 12a + 4b = 0 + 13 Combine like terms: 0 + 13 = 13 12a + 4b = 13 Add '-4b' to each side of the equation. 12a + 4b + -4b = 13 + -4b Combine like terms: 4b + -4b = 0 12a + 0 = 13 + -4b 12a = 13 + -4b Divide each side by '12'. a = 1.083333333 + -0.3333333333b Simplifying a = 1.083333333 + -0.3333333333b
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