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Simplifying -9b + 1 + 7b = 3b + 6 Reorder the terms: 1 + -9b + 7b = 3b + 6 Combine like terms: -9b + 7b = -2b 1 + -2b = 3b + 6 Reorder the terms: 1 + -2b = 6 + 3b Solving 1 + -2b = 6 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 1 + -2b + -3b = 6 + 3b + -3b Combine like terms: -2b + -3b = -5b 1 + -5b = 6 + 3b + -3b Combine like terms: 3b + -3b = 0 1 + -5b = 6 + 0 1 + -5b = 6 Add '-1' to each side of the equation. 1 + -1 + -5b = 6 + -1 Combine like terms: 1 + -1 = 0 0 + -5b = 6 + -1 -5b = 6 + -1 Combine like terms: 6 + -1 = 5 -5b = 5 Divide each side by '-5'. b = -1 Simplifying b = -1
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