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Simplifying 113 = -6(2 + -5b) + -5b 113 = (2 * -6 + -5b * -6) + -5b 113 = (-12 + 30b) + -5b Combine like terms: 30b + -5b = 25b 113 = -12 + 25b Solving 113 = -12 + 25b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-25b' to each side of the equation. 113 + -25b = -12 + 25b + -25b Combine like terms: 25b + -25b = 0 113 + -25b = -12 + 0 113 + -25b = -12 Add '-113' to each side of the equation. 113 + -113 + -25b = -12 + -113 Combine like terms: 113 + -113 = 0 0 + -25b = -12 + -113 -25b = -12 + -113 Combine like terms: -12 + -113 = -125 -25b = -125 Divide each side by '-25'. b = 5 Simplifying b = 5
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