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Simplifying 5b + -17 = 2b + 7 Reorder the terms: -17 + 5b = 2b + 7 Reorder the terms: -17 + 5b = 7 + 2b Solving -17 + 5b = 7 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -17 + 5b + -2b = 7 + 2b + -2b Combine like terms: 5b + -2b = 3b -17 + 3b = 7 + 2b + -2b Combine like terms: 2b + -2b = 0 -17 + 3b = 7 + 0 -17 + 3b = 7 Add '17' to each side of the equation. -17 + 17 + 3b = 7 + 17 Combine like terms: -17 + 17 = 0 0 + 3b = 7 + 17 3b = 7 + 17 Combine like terms: 7 + 17 = 24 3b = 24 Divide each side by '3'. b = 8 Simplifying b = 8
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