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Simplifying 8 + 8b = -3(b + 1) Reorder the terms: 8 + 8b = -3(1 + b) 8 + 8b = (1 * -3 + b * -3) 8 + 8b = (-3 + -3b) Solving 8 + 8b = -3 + -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. 8 + 8b + 3b = -3 + -3b + 3b Combine like terms: 8b + 3b = 11b 8 + 11b = -3 + -3b + 3b Combine like terms: -3b + 3b = 0 8 + 11b = -3 + 0 8 + 11b = -3 Add '-8' to each side of the equation. 8 + -8 + 11b = -3 + -8 Combine like terms: 8 + -8 = 0 0 + 11b = -3 + -8 11b = -3 + -8 Combine like terms: -3 + -8 = -11 11b = -11 Divide each side by '11'. b = -1 Simplifying b = -1
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