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Simplifying 35 = 5(b + -83) Reorder the terms: 35 = 5(-83 + b) 35 = (-83 * 5 + b * 5) 35 = (-415 + 5b) Solving 35 = -415 + 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. 35 + -5b = -415 + 5b + -5b Combine like terms: 5b + -5b = 0 35 + -5b = -415 + 0 35 + -5b = -415 Add '-35' to each side of the equation. 35 + -35 + -5b = -415 + -35 Combine like terms: 35 + -35 = 0 0 + -5b = -415 + -35 -5b = -415 + -35 Combine like terms: -415 + -35 = -450 -5b = -450 Divide each side by '-5'. b = 90 Simplifying b = 90
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