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Simplifying 7b + 17 = 8b + -15 Reorder the terms: 17 + 7b = 8b + -15 Reorder the terms: 17 + 7b = -15 + 8b Solving 17 + 7b = -15 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. 17 + 7b + -8b = -15 + 8b + -8b Combine like terms: 7b + -8b = -1b 17 + -1b = -15 + 8b + -8b Combine like terms: 8b + -8b = 0 17 + -1b = -15 + 0 17 + -1b = -15 Add '-17' to each side of the equation. 17 + -17 + -1b = -15 + -17 Combine like terms: 17 + -17 = 0 0 + -1b = -15 + -17 -1b = -15 + -17 Combine like terms: -15 + -17 = -32 -1b = -32 Divide each side by '-1'. b = 32 Simplifying b = 32
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