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Simplifying 3b + -5 = 13 + b + 2 + 6b Reorder the terms: -5 + 3b = 13 + b + 2 + 6b Reorder the terms: -5 + 3b = 13 + 2 + b + 6b Combine like terms: 13 + 2 = 15 -5 + 3b = 15 + b + 6b Combine like terms: b + 6b = 7b -5 + 3b = 15 + 7b Solving -5 + 3b = 15 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. -5 + 3b + -7b = 15 + 7b + -7b Combine like terms: 3b + -7b = -4b -5 + -4b = 15 + 7b + -7b Combine like terms: 7b + -7b = 0 -5 + -4b = 15 + 0 -5 + -4b = 15 Add '5' to each side of the equation. -5 + 5 + -4b = 15 + 5 Combine like terms: -5 + 5 = 0 0 + -4b = 15 + 5 -4b = 15 + 5 Combine like terms: 15 + 5 = 20 -4b = 20 Divide each side by '-4'. b = -5 Simplifying b = -5
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