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Simplifying b + 315 = -6b + 7 Reorder the terms: 315 + b = -6b + 7 Reorder the terms: 315 + b = 7 + -6b Solving 315 + b = 7 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. 315 + b + 6b = 7 + -6b + 6b Combine like terms: b + 6b = 7b 315 + 7b = 7 + -6b + 6b Combine like terms: -6b + 6b = 0 315 + 7b = 7 + 0 315 + 7b = 7 Add '-315' to each side of the equation. 315 + -315 + 7b = 7 + -315 Combine like terms: 315 + -315 = 0 0 + 7b = 7 + -315 7b = 7 + -315 Combine like terms: 7 + -315 = -308 7b = -308 Divide each side by '7'. b = -44 Simplifying b = -44
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