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Simplifying 1 + -1b + -8 = -6 + b + 6 + 7 Reorder the terms: 1 + -8 + -1b = -6 + b + 6 + 7 Combine like terms: 1 + -8 = -7 -7 + -1b = -6 + b + 6 + 7 Reorder the terms: -7 + -1b = -6 + 6 + 7 + b Combine like terms: -6 + 6 = 0 -7 + -1b = 0 + 7 + b -7 + -1b = 7 + b Solving -7 + -1b = 7 + 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 = 7 + b + -1b Combine like terms: -1b + -1b = -2b -7 + -2b = 7 + b + -1b Combine like terms: b + -1b = 0 -7 + -2b = 7 + 0 -7 + -2b = 7 Add '7' to each side of the equation. -7 + 7 + -2b = 7 + 7 Combine like terms: -7 + 7 = 0 0 + -2b = 7 + 7 -2b = 7 + 7 Combine like terms: 7 + 7 = 14 -2b = 14 Divide each side by '-2'. b = -7 Simplifying b = -7
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