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Simplifying 7b + 2b + -1 = 8b + -7 Reorder the terms: -1 + 7b + 2b = 8b + -7 Combine like terms: 7b + 2b = 9b -1 + 9b = 8b + -7 Reorder the terms: -1 + 9b = -7 + 8b Solving -1 + 9b = -7 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. -1 + 9b + -8b = -7 + 8b + -8b Combine like terms: 9b + -8b = 1b -1 + 1b = -7 + 8b + -8b Combine like terms: 8b + -8b = 0 -1 + 1b = -7 + 0 -1 + 1b = -7 Add '1' to each side of the equation. -1 + 1 + 1b = -7 + 1 Combine like terms: -1 + 1 = 0 0 + 1b = -7 + 1 1b = -7 + 1 Combine like terms: -7 + 1 = -6 1b = -6 Divide each side by '1'. b = -6 Simplifying b = -6
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