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Simplifying -11 + 4b + 7b = 8b + 1 Combine like terms: 4b + 7b = 11b -11 + 11b = 8b + 1 Reorder the terms: -11 + 11b = 1 + 8b Solving -11 + 11b = 1 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. -11 + 11b + -8b = 1 + 8b + -8b Combine like terms: 11b + -8b = 3b -11 + 3b = 1 + 8b + -8b Combine like terms: 8b + -8b = 0 -11 + 3b = 1 + 0 -11 + 3b = 1 Add '11' to each side of the equation. -11 + 11 + 3b = 1 + 11 Combine like terms: -11 + 11 = 0 0 + 3b = 1 + 11 3b = 1 + 11 Combine like terms: 1 + 11 = 12 3b = 12 Divide each side by '3'. b = 4 Simplifying b = 4
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