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Simplifying 7b + 2 + -1b + -6 + -8b = 3b + -4 + -1b + 20 Reorder the terms: 2 + -6 + 7b + -1b + -8b = 3b + -4 + -1b + 20 Combine like terms: 2 + -6 = -4 -4 + 7b + -1b + -8b = 3b + -4 + -1b + 20 Combine like terms: 7b + -1b = 6b -4 + 6b + -8b = 3b + -4 + -1b + 20 Combine like terms: 6b + -8b = -2b -4 + -2b = 3b + -4 + -1b + 20 Reorder the terms: -4 + -2b = -4 + 20 + 3b + -1b Combine like terms: -4 + 20 = 16 -4 + -2b = 16 + 3b + -1b Combine like terms: 3b + -1b = 2b -4 + -2b = 16 + 2b Solving -4 + -2b = 16 + 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. -4 + -2b + -2b = 16 + 2b + -2b Combine like terms: -2b + -2b = -4b -4 + -4b = 16 + 2b + -2b Combine like terms: 2b + -2b = 0 -4 + -4b = 16 + 0 -4 + -4b = 16 Add '4' to each side of the equation. -4 + 4 + -4b = 16 + 4 Combine like terms: -4 + 4 = 0 0 + -4b = 16 + 4 -4b = 16 + 4 Combine like terms: 16 + 4 = 20 -4b = 20 Divide each side by '-4'. b = -5 Simplifying b = -5
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