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Simplifying 7b + 1 = 10 + 4b Reorder the terms: 1 + 7b = 10 + 4b Solving 1 + 7b = 10 + 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. 1 + 7b + -4b = 10 + 4b + -4b Combine like terms: 7b + -4b = 3b 1 + 3b = 10 + 4b + -4b Combine like terms: 4b + -4b = 0 1 + 3b = 10 + 0 1 + 3b = 10 Add '-1' to each side of the equation. 1 + -1 + 3b = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 3b = 10 + -1 3b = 10 + -1 Combine like terms: 10 + -1 = 9 3b = 9 Divide each side by '3'. b = 3 Simplifying b = 3
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