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Simplifying 13 + -5b = b + 7 Reorder the terms: 13 + -5b = 7 + b Solving 13 + -5b = 7 + 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 + -5b + -1b = 7 + b + -1b Combine like terms: -5b + -1b = -6b 13 + -6b = 7 + b + -1b Combine like terms: b + -1b = 0 13 + -6b = 7 + 0 13 + -6b = 7 Add '-13' to each side of the equation. 13 + -13 + -6b = 7 + -13 Combine like terms: 13 + -13 = 0 0 + -6b = 7 + -13 -6b = 7 + -13 Combine like terms: 7 + -13 = -6 -6b = -6 Divide each side by '-6'. b = 1 Simplifying b = 1
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