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Simplifying (9b + -7) + (7 + -3b) + -1(-3 + -3b) + (6 + 3b) = 0 Reorder the terms: (-7 + 9b) + (7 + -3b) + -1(-3 + -3b) + (6 + 3b) = 0 Remove parenthesis around (-7 + 9b) -7 + 9b + (7 + -3b) + -1(-3 + -3b) + (6 + 3b) = 0 Remove parenthesis around (7 + -3b) -7 + 9b + 7 + -3b + -1(-3 + -3b) + (6 + 3b) = 0 -7 + 9b + 7 + -3b + (-3 * -1 + -3b * -1) + (6 + 3b) = 0 -7 + 9b + 7 + -3b + (3 + 3b) + (6 + 3b) = 0 Remove parenthesis around (6 + 3b) -7 + 9b + 7 + -3b + 3 + 3b + 6 + 3b = 0 Reorder the terms: -7 + 7 + 3 + 6 + 9b + -3b + 3b + 3b = 0 Combine like terms: -7 + 7 = 0 0 + 3 + 6 + 9b + -3b + 3b + 3b = 0 3 + 6 + 9b + -3b + 3b + 3b = 0 Combine like terms: 3 + 6 = 9 9 + 9b + -3b + 3b + 3b = 0 Combine like terms: 9b + -3b = 6b 9 + 6b + 3b + 3b = 0 Combine like terms: 6b + 3b = 9b 9 + 9b + 3b = 0 Combine like terms: 9b + 3b = 12b 9 + 12b = 0 Solving 9 + 12b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 12b = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 12b = 0 + -9 12b = 0 + -9 Combine like terms: 0 + -9 = -9 12b = -9 Divide each side by '12'. b = -0.75 Simplifying b = -0.75
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