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Simplifying 8 + -3a + 7 * 9a + -22 + -2b + -6b * 3 = 0 Multiply 7 * 9 8 + -3a + 63a + -22 + -2b + -6b * 3 = 0 Reorder the terms for easier multiplication: 8 + -3a + 63a + -22 + -2b + -6 * 3b = 0 Multiply -6 * 3 8 + -3a + 63a + -22 + -2b + -18b = 0 Reorder the terms: 8 + -22 + -3a + 63a + -2b + -18b = 0 Combine like terms: 8 + -22 = -14 -14 + -3a + 63a + -2b + -18b = 0 Combine like terms: -3a + 63a = 60a -14 + 60a + -2b + -18b = 0 Combine like terms: -2b + -18b = -20b -14 + 60a + -20b = 0 Solving -14 + 60a + -20b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 60a + 14 + -20b = 0 + 14 Reorder the terms: -14 + 14 + 60a + -20b = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 60a + -20b = 0 + 14 60a + -20b = 0 + 14 Combine like terms: 0 + 14 = 14 60a + -20b = 14 Add '20b' to each side of the equation. 60a + -20b + 20b = 14 + 20b Combine like terms: -20b + 20b = 0 60a + 0 = 14 + 20b 60a = 14 + 20b Divide each side by '60'. a = 0.2333333333 + 0.3333333333b Simplifying a = 0.2333333333 + 0.3333333333b
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