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