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Simplifying -3b + 7b + -6 = 2 + 2b + 8 Reorder the terms: -6 + -3b + 7b = 2 + 2b + 8 Combine like terms: -3b + 7b = 4b -6 + 4b = 2 + 2b + 8 Reorder the terms: -6 + 4b = 2 + 8 + 2b Combine like terms: 2 + 8 = 10 -6 + 4b = 10 + 2b Solving -6 + 4b = 10 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -6 + 4b + -2b = 10 + 2b + -2b Combine like terms: 4b + -2b = 2b -6 + 2b = 10 + 2b + -2b Combine like terms: 2b + -2b = 0 -6 + 2b = 10 + 0 -6 + 2b = 10 Add '6' to each side of the equation. -6 + 6 + 2b = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 2b = 10 + 6 2b = 10 + 6 Combine like terms: 10 + 6 = 16 2b = 16 Divide each side by '2'. b = 8 Simplifying b = 8
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