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Simplifying 13 + b = 5 + -3b Solving 13 + b = 5 + -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. 13 + b + 3b = 5 + -3b + 3b Combine like terms: b + 3b = 4b 13 + 4b = 5 + -3b + 3b Combine like terms: -3b + 3b = 0 13 + 4b = 5 + 0 13 + 4b = 5 Add '-13' to each side of the equation. 13 + -13 + 4b = 5 + -13 Combine like terms: 13 + -13 = 0 0 + 4b = 5 + -13 4b = 5 + -13 Combine like terms: 5 + -13 = -8 4b = -8 Divide each side by '4'. b = -2 Simplifying b = -2
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