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Simplifying 14 + 6b + 7 + -2b = 1 + 5b Reorder the terms: 14 + 7 + 6b + -2b = 1 + 5b Combine like terms: 14 + 7 = 21 21 + 6b + -2b = 1 + 5b Combine like terms: 6b + -2b = 4b 21 + 4b = 1 + 5b Solving 21 + 4b = 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. 21 + 4b + -5b = 1 + 5b + -5b Combine like terms: 4b + -5b = -1b 21 + -1b = 1 + 5b + -5b Combine like terms: 5b + -5b = 0 21 + -1b = 1 + 0 21 + -1b = 1 Add '-21' to each side of the equation. 21 + -21 + -1b = 1 + -21 Combine like terms: 21 + -21 = 0 0 + -1b = 1 + -21 -1b = 1 + -21 Combine like terms: 1 + -21 = -20 -1b = -20 Divide each side by '-1'. b = 20 Simplifying b = 20
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