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Simplifying -1b + -8 + 1 = 9 + b + -7 + 7 Reorder the terms: -8 + 1 + -1b = 9 + b + -7 + 7 Combine like terms: -8 + 1 = -7 -7 + -1b = 9 + b + -7 + 7 Reorder the terms: -7 + -1b = 9 + -7 + 7 + b Combine like terms: 9 + -7 = 2 -7 + -1b = 2 + 7 + b Combine like terms: 2 + 7 = 9 -7 + -1b = 9 + b Solving -7 + -1b = 9 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. -7 + -1b + -1b = 9 + b + -1b Combine like terms: -1b + -1b = -2b -7 + -2b = 9 + b + -1b Combine like terms: b + -1b = 0 -7 + -2b = 9 + 0 -7 + -2b = 9 Add '7' to each side of the equation. -7 + 7 + -2b = 9 + 7 Combine like terms: -7 + 7 = 0 0 + -2b = 9 + 7 -2b = 9 + 7 Combine like terms: 9 + 7 = 16 -2b = 16 Divide each side by '-2'. b = -8 Simplifying b = -8
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