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Simplifying 35(b + 2) = 7(b + -26) Reorder the terms: 35(2 + b) = 7(b + -26) (2 * 35 + b * 35) = 7(b + -26) (70 + 35b) = 7(b + -26) Reorder the terms: 70 + 35b = 7(-26 + b) 70 + 35b = (-26 * 7 + b * 7) 70 + 35b = (-182 + 7b) Solving 70 + 35b = -182 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. 70 + 35b + -7b = -182 + 7b + -7b Combine like terms: 35b + -7b = 28b 70 + 28b = -182 + 7b + -7b Combine like terms: 7b + -7b = 0 70 + 28b = -182 + 0 70 + 28b = -182 Add '-70' to each side of the equation. 70 + -70 + 28b = -182 + -70 Combine like terms: 70 + -70 = 0 0 + 28b = -182 + -70 28b = -182 + -70 Combine like terms: -182 + -70 = -252 28b = -252 Divide each side by '28'. b = -9 Simplifying b = -9
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