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Simplifying -12 = b + -6 + -7b Reorder the terms: -12 = -6 + b + -7b Combine like terms: b + -7b = -6b -12 = -6 + -6b Solving -12 = -6 + -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. -12 + 6b = -6 + -6b + 6b Combine like terms: -6b + 6b = 0 -12 + 6b = -6 + 0 -12 + 6b = -6 Add '12' to each side of the equation. -12 + 12 + 6b = -6 + 12 Combine like terms: -12 + 12 = 0 0 + 6b = -6 + 12 6b = -6 + 12 Combine like terms: -6 + 12 = 6 6b = 6 Divide each side by '6'. b = 1 Simplifying b = 1
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