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Simplifying 7b + -2 + 3b = 30 + 6b Reorder the terms: -2 + 7b + 3b = 30 + 6b Combine like terms: 7b + 3b = 10b -2 + 10b = 30 + 6b Solving -2 + 10b = 30 + 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. -2 + 10b + -6b = 30 + 6b + -6b Combine like terms: 10b + -6b = 4b -2 + 4b = 30 + 6b + -6b Combine like terms: 6b + -6b = 0 -2 + 4b = 30 + 0 -2 + 4b = 30 Add '2' to each side of the equation. -2 + 2 + 4b = 30 + 2 Combine like terms: -2 + 2 = 0 0 + 4b = 30 + 2 4b = 30 + 2 Combine like terms: 30 + 2 = 32 4b = 32 Divide each side by '4'. b = 8 Simplifying b = 8
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