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Simplifying 8a + 2b + -4 * 3a + -1b + 9 = 0 Multiply -4 * 3 8a + 2b + -12a + -1b + 9 = 0 Reorder the terms: 9 + 8a + -12a + 2b + -1b = 0 Combine like terms: 8a + -12a = -4a 9 + -4a + 2b + -1b = 0 Combine like terms: 2b + -1b = 1b 9 + -4a + 1b = 0 Solving 9 + -4a + 1b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -4a + -9 + 1b = 0 + -9 Reorder the terms: 9 + -9 + -4a + 1b = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4a + 1b = 0 + -9 -4a + 1b = 0 + -9 Combine like terms: 0 + -9 = -9 -4a + 1b = -9 Add '-1b' to each side of the equation. -4a + 1b + -1b = -9 + -1b Combine like terms: 1b + -1b = 0 -4a + 0 = -9 + -1b -4a = -9 + -1b Divide each side by '-4'. a = 2.25 + 0.25b Simplifying a = 2.25 + 0.25b
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