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Simplifying 3b + 13 = 5b + 1 Reorder the terms: 13 + 3b = 5b + 1 Reorder the terms: 13 + 3b = 1 + 5b Solving 13 + 3b = 1 + 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. 13 + 3b + -5b = 1 + 5b + -5b Combine like terms: 3b + -5b = -2b 13 + -2b = 1 + 5b + -5b Combine like terms: 5b + -5b = 0 13 + -2b = 1 + 0 13 + -2b = 1 Add '-13' to each side of the equation. 13 + -13 + -2b = 1 + -13 Combine like terms: 13 + -13 = 0 0 + -2b = 1 + -13 -2b = 1 + -13 Combine like terms: 1 + -13 = -12 -2b = -12 Divide each side by '-2'. b = 6 Simplifying b = 6
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