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Simplifying 5a + -3b + 7a + -9b + -10a + 8b + 3a + -5b + -6a + b = 0 Reorder the terms: 5a + 7a + -10a + 3a + -6a + -3b + -9b + 8b + -5b + b = 0 Combine like terms: 5a + 7a = 12a 12a + -10a + 3a + -6a + -3b + -9b + 8b + -5b + b = 0 Combine like terms: 12a + -10a = 2a 2a + 3a + -6a + -3b + -9b + 8b + -5b + b = 0 Combine like terms: 2a + 3a = 5a 5a + -6a + -3b + -9b + 8b + -5b + b = 0 Combine like terms: 5a + -6a = -1a -1a + -3b + -9b + 8b + -5b + b = 0 Combine like terms: -3b + -9b = -12b -1a + -12b + 8b + -5b + b = 0 Combine like terms: -12b + 8b = -4b -1a + -4b + -5b + b = 0 Combine like terms: -4b + -5b = -9b -1a + -9b + b = 0 Combine like terms: -9b + b = -8b -1a + -8b = 0 Solving -1a + -8b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8b' to each side of the equation. -1a + -8b + 8b = 0 + 8b Combine like terms: -8b + 8b = 0 -1a + 0 = 0 + 8b -1a = 0 + 8b Remove the zero: -1a = 8b Divide each side by '-1'. a = -8b Simplifying a = -8b
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