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Simplifying 3b + 4 = 5b + -13 Reorder the terms: 4 + 3b = 5b + -13 Reorder the terms: 4 + 3b = -13 + 5b Solving 4 + 3b = -13 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 4 + 3b + -5b = -13 + 5b + -5b Combine like terms: 3b + -5b = -2b 4 + -2b = -13 + 5b + -5b Combine like terms: 5b + -5b = 0 4 + -2b = -13 + 0 4 + -2b = -13 Add '-4' to each side of the equation. 4 + -4 + -2b = -13 + -4 Combine like terms: 4 + -4 = 0 0 + -2b = -13 + -4 -2b = -13 + -4 Combine like terms: -13 + -4 = -17 -2b = -17 Divide each side by '-2'. b = 8.5 Simplifying b = 8.5
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