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Simplifying -8(b + 1) = 6 + -1b Reorder the terms: -8(1 + b) = 6 + -1b (1 * -8 + b * -8) = 6 + -1b (-8 + -8b) = 6 + -1b Solving -8 + -8b = 6 + -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. -8 + -8b + b = 6 + -1b + b Combine like terms: -8b + b = -7b -8 + -7b = 6 + -1b + b Combine like terms: -1b + b = 0 -8 + -7b = 6 + 0 -8 + -7b = 6 Add '8' to each side of the equation. -8 + 8 + -7b = 6 + 8 Combine like terms: -8 + 8 = 0 0 + -7b = 6 + 8 -7b = 6 + 8 Combine like terms: 6 + 8 = 14 -7b = 14 Divide each side by '-7'. b = -2 Simplifying b = -2
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