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Simplifying 8(1 + -1b) = b + -10 (1 * 8 + -1b * 8) = b + -10 (8 + -8b) = b + -10 Reorder the terms: 8 + -8b = -10 + b Solving 8 + -8b = -10 + 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. 8 + -8b + -1b = -10 + b + -1b Combine like terms: -8b + -1b = -9b 8 + -9b = -10 + b + -1b Combine like terms: b + -1b = 0 8 + -9b = -10 + 0 8 + -9b = -10 Add '-8' to each side of the equation. 8 + -8 + -9b = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -9b = -10 + -8 -9b = -10 + -8 Combine like terms: -10 + -8 = -18 -9b = -18 Divide each side by '-9'. b = 2 Simplifying b = 2
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