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Simplifying 1 + -1b = 7 + 5b Solving 1 + -1b = 7 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 1 + -1b + -5b = 7 + 5b + -5b Combine like terms: -1b + -5b = -6b 1 + -6b = 7 + 5b + -5b Combine like terms: 5b + -5b = 0 1 + -6b = 7 + 0 1 + -6b = 7 Add '-1' to each side of the equation. 1 + -1 + -6b = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -6b = 7 + -1 -6b = 7 + -1 Combine like terms: 7 + -1 = 6 -6b = 6 Divide each side by '-6'. b = -1 Simplifying b = -1
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