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Simplifying 4b + 6 + -2b + 10 = b + 100 Reorder the terms: 6 + 10 + 4b + -2b = b + 100 Combine like terms: 6 + 10 = 16 16 + 4b + -2b = b + 100 Combine like terms: 4b + -2b = 2b 16 + 2b = b + 100 Reorder the terms: 16 + 2b = 100 + b Solving 16 + 2b = 100 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 16 + 2b + -1b = 100 + b + -1b Combine like terms: 2b + -1b = 1b 16 + 1b = 100 + b + -1b Combine like terms: b + -1b = 0 16 + 1b = 100 + 0 16 + 1b = 100 Add '-16' to each side of the equation. 16 + -16 + 1b = 100 + -16 Combine like terms: 16 + -16 = 0 0 + 1b = 100 + -16 1b = 100 + -16 Combine like terms: 100 + -16 = 84 1b = 84 Divide each side by '1'. b = 84 Simplifying b = 84
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