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Simplifying -2a + 4(3 + 6b) + -9a = 0 -2a + (3 * 4 + 6b * 4) + -9a = 0 -2a + (12 + 24b) + -9a = 0 Reorder the terms: 12 + -2a + -9a + 24b = 0 Combine like terms: -2a + -9a = -11a 12 + -11a + 24b = 0 Solving 12 + -11a + 24b = 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 + -11a + -12 + 24b = 0 + -12 Reorder the terms: 12 + -12 + -11a + 24b = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -11a + 24b = 0 + -12 -11a + 24b = 0 + -12 Combine like terms: 0 + -12 = -12 -11a + 24b = -12 Add '-24b' to each side of the equation. -11a + 24b + -24b = -12 + -24b Combine like terms: 24b + -24b = 0 -11a + 0 = -12 + -24b -11a = -12 + -24b Divide each side by '-11'. a = 1.090909091 + 2.181818182b Simplifying a = 1.090909091 + 2.181818182b
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