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Simplifying 6 + 3b = 5b + -2 + -7b + 13 Reorder the terms: 6 + 3b = -2 + 13 + 5b + -7b Combine like terms: -2 + 13 = 11 6 + 3b = 11 + 5b + -7b Combine like terms: 5b + -7b = -2b 6 + 3b = 11 + -2b Solving 6 + 3b = 11 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. 6 + 3b + 2b = 11 + -2b + 2b Combine like terms: 3b + 2b = 5b 6 + 5b = 11 + -2b + 2b Combine like terms: -2b + 2b = 0 6 + 5b = 11 + 0 6 + 5b = 11 Add '-6' to each side of the equation. 6 + -6 + 5b = 11 + -6 Combine like terms: 6 + -6 = 0 0 + 5b = 11 + -6 5b = 11 + -6 Combine like terms: 11 + -6 = 5 5b = 5 Divide each side by '5'. b = 1 Simplifying b = 1
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