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Simplifying -1 + 9 = 3b + -7 + -2b Combine like terms: -1 + 9 = 8 8 = 3b + -7 + -2b Reorder the terms: 8 = -7 + 3b + -2b Combine like terms: 3b + -2b = 1b 8 = -7 + 1b Solving 8 = -7 + 1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 8 + -1b = -7 + 1b + -1b Combine like terms: 1b + -1b = 0 8 + -1b = -7 + 0 8 + -1b = -7 Add '-8' to each side of the equation. 8 + -8 + -1b = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -1b = -7 + -8 -1b = -7 + -8 Combine like terms: -7 + -8 = -15 -1b = -15 Divide each side by '-1'. b = 15 Simplifying b = 15
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