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Simplifying -14 + 6b + 97 + -2b + 1 = 5b Reorder the terms: -14 + 97 + 1 + 6b + -2b = 5b Combine like terms: -14 + 97 = 83 83 + 1 + 6b + -2b = 5b Combine like terms: 83 + 1 = 84 84 + 6b + -2b = 5b Combine like terms: 6b + -2b = 4b 84 + 4b = 5b Solving 84 + 4b = 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. 84 + 4b + -5b = 5b + -5b Combine like terms: 4b + -5b = -1b 84 + -1b = 5b + -5b Combine like terms: 5b + -5b = 0 84 + -1b = 0 Add '-84' to each side of the equation. 84 + -84 + -1b = 0 + -84 Combine like terms: 84 + -84 = 0 0 + -1b = 0 + -84 -1b = 0 + -84 Combine like terms: 0 + -84 = -84 -1b = -84 Divide each side by '-1'. b = 84 Simplifying b = 84
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