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Simplifying b + -6 = 10 + -7b + -2 + 6b Reorder the terms: -6 + b = 10 + -7b + -2 + 6b Reorder the terms: -6 + b = 10 + -2 + -7b + 6b Combine like terms: 10 + -2 = 8 -6 + b = 8 + -7b + 6b Combine like terms: -7b + 6b = -1b -6 + b = 8 + -1b Solving -6 + b = 8 + -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. -6 + b + b = 8 + -1b + b Combine like terms: b + b = 2b -6 + 2b = 8 + -1b + b Combine like terms: -1b + b = 0 -6 + 2b = 8 + 0 -6 + 2b = 8 Add '6' to each side of the equation. -6 + 6 + 2b = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 2b = 8 + 6 2b = 8 + 6 Combine like terms: 8 + 6 = 14 2b = 14 Divide each side by '2'. b = 7 Simplifying b = 7
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