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Simplifying -2b + 13 = b + 6 + -8 Reorder the terms: 13 + -2b = b + 6 + -8 Reorder the terms: 13 + -2b = 6 + -8 + b Combine like terms: 6 + -8 = -2 13 + -2b = -2 + b Solving 13 + -2b = -2 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 13 + -2b + -1b = -2 + b + -1b Combine like terms: -2b + -1b = -3b 13 + -3b = -2 + b + -1b Combine like terms: b + -1b = 0 13 + -3b = -2 + 0 13 + -3b = -2 Add '-13' to each side of the equation. 13 + -13 + -3b = -2 + -13 Combine like terms: 13 + -13 = 0 0 + -3b = -2 + -13 -3b = -2 + -13 Combine like terms: -2 + -13 = -15 -3b = -15 Divide each side by '-3'. b = 5 Simplifying b = 5
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