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Simplifying (b + -7) + (3b + 9) = 0 Reorder the terms: (-7 + b) + (3b + 9) = 0 Remove parenthesis around (-7 + b) -7 + b + (3b + 9) = 0 Reorder the terms: -7 + b + (9 + 3b) = 0 Remove parenthesis around (9 + 3b) -7 + b + 9 + 3b = 0 Reorder the terms: -7 + 9 + b + 3b = 0 Combine like terms: -7 + 9 = 2 2 + b + 3b = 0 Combine like terms: b + 3b = 4b 2 + 4b = 0 Solving 2 + 4b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 4b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 4b = 0 + -2 4b = 0 + -2 Combine like terms: 0 + -2 = -2 4b = -2 Divide each side by '4'. b = -0.5 Simplifying b = -0.5
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