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Simplifying 3b + 9 = 4b + 1 Reorder the terms: 9 + 3b = 4b + 1 Reorder the terms: 9 + 3b = 1 + 4b Solving 9 + 3b = 1 + 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. 9 + 3b + -4b = 1 + 4b + -4b Combine like terms: 3b + -4b = -1b 9 + -1b = 1 + 4b + -4b Combine like terms: 4b + -4b = 0 9 + -1b = 1 + 0 9 + -1b = 1 Add '-9' to each side of the equation. 9 + -9 + -1b = 1 + -9 Combine like terms: 9 + -9 = 0 0 + -1b = 1 + -9 -1b = 1 + -9 Combine like terms: 1 + -9 = -8 -1b = -8 Divide each side by '-1'. b = 8 Simplifying b = 8
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