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Simplifying 3b + 17 + -1 + b + -4 = 100 + -4 Reorder the terms: 17 + -1 + -4 + 3b + b = 100 + -4 Combine like terms: 17 + -1 = 16 16 + -4 + 3b + b = 100 + -4 Combine like terms: 16 + -4 = 12 12 + 3b + b = 100 + -4 Combine like terms: 3b + b = 4b 12 + 4b = 100 + -4 Combine like terms: 100 + -4 = 96 12 + 4b = 96 Solving 12 + 4b = 96 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 4b = 96 + -12 Combine like terms: 12 + -12 = 0 0 + 4b = 96 + -12 4b = 96 + -12 Combine like terms: 96 + -12 = 84 4b = 84 Divide each side by '4'. b = 21 Simplifying b = 21
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