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Simplifying 10a + 3b + 12 + -5a + b = 0 Reorder the terms: 12 + 10a + -5a + 3b + b = 0 Combine like terms: 10a + -5a = 5a 12 + 5a + 3b + b = 0 Combine like terms: 3b + b = 4b 12 + 5a + 4b = 0 Solving 12 + 5a + 4b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 5a + -12 + 4b = 0 + -12 Reorder the terms: 12 + -12 + 5a + 4b = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 5a + 4b = 0 + -12 5a + 4b = 0 + -12 Combine like terms: 0 + -12 = -12 5a + 4b = -12 Add '-4b' to each side of the equation. 5a + 4b + -4b = -12 + -4b Combine like terms: 4b + -4b = 0 5a + 0 = -12 + -4b 5a = -12 + -4b Divide each side by '5'. a = -2.4 + -0.8b Simplifying a = -2.4 + -0.8b
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