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Simplifying 2b + 3b + -8 = 7b + -2 Reorder the terms: -8 + 2b + 3b = 7b + -2 Combine like terms: 2b + 3b = 5b -8 + 5b = 7b + -2 Reorder the terms: -8 + 5b = -2 + 7b Solving -8 + 5b = -2 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. -8 + 5b + -7b = -2 + 7b + -7b Combine like terms: 5b + -7b = -2b -8 + -2b = -2 + 7b + -7b Combine like terms: 7b + -7b = 0 -8 + -2b = -2 + 0 -8 + -2b = -2 Add '8' to each side of the equation. -8 + 8 + -2b = -2 + 8 Combine like terms: -8 + 8 = 0 0 + -2b = -2 + 8 -2b = -2 + 8 Combine like terms: -2 + 8 = 6 -2b = 6 Divide each side by '-2'. b = -3 Simplifying b = -3
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