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Simplifying 8(b + -1) = -14 + 2b Reorder the terms: 8(-1 + b) = -14 + 2b (-1 * 8 + b * 8) = -14 + 2b (-8 + 8b) = -14 + 2b Solving -8 + 8b = -14 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -8 + 8b + -2b = -14 + 2b + -2b Combine like terms: 8b + -2b = 6b -8 + 6b = -14 + 2b + -2b Combine like terms: 2b + -2b = 0 -8 + 6b = -14 + 0 -8 + 6b = -14 Add '8' to each side of the equation. -8 + 8 + 6b = -14 + 8 Combine like terms: -8 + 8 = 0 0 + 6b = -14 + 8 6b = -14 + 8 Combine like terms: -14 + 8 = -6 6b = -6 Divide each side by '6'. b = -1 Simplifying b = -1
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