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Simplifying 3b + 14 = 4b + 13 Reorder the terms: 14 + 3b = 4b + 13 Reorder the terms: 14 + 3b = 13 + 4b Solving 14 + 3b = 13 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. 14 + 3b + -4b = 13 + 4b + -4b Combine like terms: 3b + -4b = -1b 14 + -1b = 13 + 4b + -4b Combine like terms: 4b + -4b = 0 14 + -1b = 13 + 0 14 + -1b = 13 Add '-14' to each side of the equation. 14 + -14 + -1b = 13 + -14 Combine like terms: 14 + -14 = 0 0 + -1b = 13 + -14 -1b = 13 + -14 Combine like terms: 13 + -14 = -1 -1b = -1 Divide each side by '-1'. b = 1 Simplifying b = 1
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