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Simplifying 7b = 3b + -1(b + 45) Reorder the terms: 7b = 3b + -1(45 + b) 7b = 3b + (45 * -1 + b * -1) 7b = 3b + (-45 + -1b) Reorder the terms: 7b = -45 + 3b + -1b Combine like terms: 3b + -1b = 2b 7b = -45 + 2b Solving 7b = -45 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 7b + -2b = -45 + 2b + -2b Combine like terms: 7b + -2b = 5b 5b = -45 + 2b + -2b Combine like terms: 2b + -2b = 0 5b = -45 + 0 5b = -45 Divide each side by '5'. b = -9 Simplifying b = -9
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