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Simplifying 1 + 5b = -5 + b + -6 + 6b Reorder the terms: 1 + 5b = -5 + -6 + b + 6b Combine like terms: -5 + -6 = -11 1 + 5b = -11 + b + 6b Combine like terms: b + 6b = 7b 1 + 5b = -11 + 7b Solving 1 + 5b = -11 + 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. 1 + 5b + -7b = -11 + 7b + -7b Combine like terms: 5b + -7b = -2b 1 + -2b = -11 + 7b + -7b Combine like terms: 7b + -7b = 0 1 + -2b = -11 + 0 1 + -2b = -11 Add '-1' to each side of the equation. 1 + -1 + -2b = -11 + -1 Combine like terms: 1 + -1 = 0 0 + -2b = -11 + -1 -2b = -11 + -1 Combine like terms: -11 + -1 = -12 -2b = -12 Divide each side by '-2'. b = 6 Simplifying b = 6
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