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Simplifying 1 + 2b + 6 = 5b + -1 Reorder the terms: 1 + 6 + 2b = 5b + -1 Combine like terms: 1 + 6 = 7 7 + 2b = 5b + -1 Reorder the terms: 7 + 2b = -1 + 5b Solving 7 + 2b = -1 + 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. 7 + 2b + -5b = -1 + 5b + -5b Combine like terms: 2b + -5b = -3b 7 + -3b = -1 + 5b + -5b Combine like terms: 5b + -5b = 0 7 + -3b = -1 + 0 7 + -3b = -1 Add '-7' to each side of the equation. 7 + -7 + -3b = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -3b = -1 + -7 -3b = -1 + -7 Combine like terms: -1 + -7 = -8 -3b = -8 Divide each side by '-3'. b = 2.666666667 Simplifying b = 2.666666667
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