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Simplifying 3b + 5 + -7b = 13 + -8b + 5b + -8 Reorder the terms: 5 + 3b + -7b = 13 + -8b + 5b + -8 Combine like terms: 3b + -7b = -4b 5 + -4b = 13 + -8b + 5b + -8 Reorder the terms: 5 + -4b = 13 + -8 + -8b + 5b Combine like terms: 13 + -8 = 5 5 + -4b = 5 + -8b + 5b Combine like terms: -8b + 5b = -3b 5 + -4b = 5 + -3b Add '-5' to each side of the equation. 5 + -5 + -4b = 5 + -5 + -3b Combine like terms: 5 + -5 = 0 0 + -4b = 5 + -5 + -3b -4b = 5 + -5 + -3b Combine like terms: 5 + -5 = 0 -4b = 0 + -3b -4b = -3b Solving -4b = -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. -4b + 3b = -3b + 3b Combine like terms: -4b + 3b = -1b -1b = -3b + 3b Combine like terms: -3b + 3b = 0 -1b = 0 Divide each side by '-1'. b = 0 Simplifying b = 0
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