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Simplifying 12a + 5b + -13a + 8b + 10 = 0 Reorder the terms: 10 + 12a + -13a + 5b + 8b = 0 Combine like terms: 12a + -13a = -1a 10 + -1a + 5b + 8b = 0 Combine like terms: 5b + 8b = 13b 10 + -1a + 13b = 0 Solving 10 + -1a + 13b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -1a + -10 + 13b = 0 + -10 Reorder the terms: 10 + -10 + -1a + 13b = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1a + 13b = 0 + -10 -1a + 13b = 0 + -10 Combine like terms: 0 + -10 = -10 -1a + 13b = -10 Add '-13b' to each side of the equation. -1a + 13b + -13b = -10 + -13b Combine like terms: 13b + -13b = 0 -1a + 0 = -10 + -13b -1a = -10 + -13b Divide each side by '-1'. a = 10 + 13b Simplifying a = 10 + 13b
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