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Simplifying 3b + 9 = 7b + 17 Reorder the terms: 9 + 3b = 7b + 17 Reorder the terms: 9 + 3b = 17 + 7b Solving 9 + 3b = 17 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. 9 + 3b + -7b = 17 + 7b + -7b Combine like terms: 3b + -7b = -4b 9 + -4b = 17 + 7b + -7b Combine like terms: 7b + -7b = 0 9 + -4b = 17 + 0 9 + -4b = 17 Add '-9' to each side of the equation. 9 + -9 + -4b = 17 + -9 Combine like terms: 9 + -9 = 0 0 + -4b = 17 + -9 -4b = 17 + -9 Combine like terms: 17 + -9 = 8 -4b = 8 Divide each side by '-4'. b = -2 Simplifying b = -2
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