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Simplifying 10a + 3b + 12 + -8a + 8 + b = 0 Reorder the terms: 12 + 8 + 10a + -8a + 3b + b = 0 Combine like terms: 12 + 8 = 20 20 + 10a + -8a + 3b + b = 0 Combine like terms: 10a + -8a = 2a 20 + 2a + 3b + b = 0 Combine like terms: 3b + b = 4b 20 + 2a + 4b = 0 Solving 20 + 2a + 4b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + 2a + -20 + 4b = 0 + -20 Reorder the terms: 20 + -20 + 2a + 4b = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 2a + 4b = 0 + -20 2a + 4b = 0 + -20 Combine like terms: 0 + -20 = -20 2a + 4b = -20 Add '-4b' to each side of the equation. 2a + 4b + -4b = -20 + -4b Combine like terms: 4b + -4b = 0 2a + 0 = -20 + -4b 2a = -20 + -4b Divide each side by '2'. a = -10 + -2b Simplifying a = -10 + -2b
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