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Simplifying b + -7 + 8 = 3b + 9 Reorder the terms: -7 + 8 + b = 3b + 9 Combine like terms: -7 + 8 = 1 1 + b = 3b + 9 Reorder the terms: 1 + b = 9 + 3b Solving 1 + b = 9 + 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 + b + -3b = 9 + 3b + -3b Combine like terms: b + -3b = -2b 1 + -2b = 9 + 3b + -3b Combine like terms: 3b + -3b = 0 1 + -2b = 9 + 0 1 + -2b = 9 Add '-1' to each side of the equation. 1 + -1 + -2b = 9 + -1 Combine like terms: 1 + -1 = 0 0 + -2b = 9 + -1 -2b = 9 + -1 Combine like terms: 9 + -1 = 8 -2b = 8 Divide each side by '-2'. b = -4 Simplifying b = -4
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