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Simplifying 10a + 3b + 2 + 2a + 2b + -5 = 0 Reorder the terms: 2 + -5 + 10a + 2a + 3b + 2b = 0 Combine like terms: 2 + -5 = -3 -3 + 10a + 2a + 3b + 2b = 0 Combine like terms: 10a + 2a = 12a -3 + 12a + 3b + 2b = 0 Combine like terms: 3b + 2b = 5b -3 + 12a + 5b = 0 Solving -3 + 12a + 5b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 12a + 3 + 5b = 0 + 3 Reorder the terms: -3 + 3 + 12a + 5b = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 12a + 5b = 0 + 3 12a + 5b = 0 + 3 Combine like terms: 0 + 3 = 3 12a + 5b = 3 Add '-5b' to each side of the equation. 12a + 5b + -5b = 3 + -5b Combine like terms: 5b + -5b = 0 12a + 0 = 3 + -5b 12a = 3 + -5b Divide each side by '12'. a = 0.25 + -0.4166666667b Simplifying a = 0.25 + -0.4166666667b
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