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Simplifying 145 = 5(1 + -7b) 145 = (1 * 5 + -7b * 5) 145 = (5 + -35b) Solving 145 = 5 + -35b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '35b' to each side of the equation. 145 + 35b = 5 + -35b + 35b Combine like terms: -35b + 35b = 0 145 + 35b = 5 + 0 145 + 35b = 5 Add '-145' to each side of the equation. 145 + -145 + 35b = 5 + -145 Combine like terms: 145 + -145 = 0 0 + 35b = 5 + -145 35b = 5 + -145 Combine like terms: 5 + -145 = -140 35b = -140 Divide each side by '35'. b = -4 Simplifying b = -4
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