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Simplifying 6b + -2b + 1 = 5b + 2 + -6 Reorder the terms: 1 + 6b + -2b = 5b + 2 + -6 Combine like terms: 6b + -2b = 4b 1 + 4b = 5b + 2 + -6 Reorder the terms: 1 + 4b = 2 + -6 + 5b Combine like terms: 2 + -6 = -4 1 + 4b = -4 + 5b Solving 1 + 4b = -4 + 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 + 4b + -5b = -4 + 5b + -5b Combine like terms: 4b + -5b = -1b 1 + -1b = -4 + 5b + -5b Combine like terms: 5b + -5b = 0 1 + -1b = -4 + 0 1 + -1b = -4 Add '-1' to each side of the equation. 1 + -1 + -1b = -4 + -1 Combine like terms: 1 + -1 = 0 0 + -1b = -4 + -1 -1b = -4 + -1 Combine like terms: -4 + -1 = -5 -1b = -5 Divide each side by '-1'. b = 5 Simplifying b = 5
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