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Simplifying (7a + -3b + -6) + (5a + 2b + -25) = 0 Reorder the terms: (-6 + 7a + -3b) + (5a + 2b + -25) = 0 Remove parenthesis around (-6 + 7a + -3b) -6 + 7a + -3b + (5a + 2b + -25) = 0 Reorder the terms: -6 + 7a + -3b + (-25 + 5a + 2b) = 0 Remove parenthesis around (-25 + 5a + 2b) -6 + 7a + -3b + -25 + 5a + 2b = 0 Reorder the terms: -6 + -25 + 7a + 5a + -3b + 2b = 0 Combine like terms: -6 + -25 = -31 -31 + 7a + 5a + -3b + 2b = 0 Combine like terms: 7a + 5a = 12a -31 + 12a + -3b + 2b = 0 Combine like terms: -3b + 2b = -1b -31 + 12a + -1b = 0 Solving -31 + 12a + -1b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 12a + 31 + -1b = 0 + 31 Reorder the terms: -31 + 31 + 12a + -1b = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 12a + -1b = 0 + 31 12a + -1b = 0 + 31 Combine like terms: 0 + 31 = 31 12a + -1b = 31 Add 'b' to each side of the equation. 12a + -1b + b = 31 + b Combine like terms: -1b + b = 0 12a + 0 = 31 + b 12a = 31 + b Divide each side by '12'. a = 2.583333333 + 0.08333333333b Simplifying a = 2.583333333 + 0.08333333333b
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