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Simplifying 8b + 5 + -5b = 4 + -4(b + 5) Reorder the terms: 5 + 8b + -5b = 4 + -4(b + 5) Combine like terms: 8b + -5b = 3b 5 + 3b = 4 + -4(b + 5) Reorder the terms: 5 + 3b = 4 + -4(5 + b) 5 + 3b = 4 + (5 * -4 + b * -4) 5 + 3b = 4 + (-20 + -4b) Combine like terms: 4 + -20 = -16 5 + 3b = -16 + -4b Solving 5 + 3b = -16 + -4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4b' to each side of the equation. 5 + 3b + 4b = -16 + -4b + 4b Combine like terms: 3b + 4b = 7b 5 + 7b = -16 + -4b + 4b Combine like terms: -4b + 4b = 0 5 + 7b = -16 + 0 5 + 7b = -16 Add '-5' to each side of the equation. 5 + -5 + 7b = -16 + -5 Combine like terms: 5 + -5 = 0 0 + 7b = -16 + -5 7b = -16 + -5 Combine like terms: -16 + -5 = -21 7b = -21 Divide each side by '7'. b = -3 Simplifying b = -3
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