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Simplifying 37 + -5b = -7(b + -7) Reorder the terms: 37 + -5b = -7(-7 + b) 37 + -5b = (-7 * -7 + b * -7) 37 + -5b = (49 + -7b) Solving 37 + -5b = 49 + -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. 37 + -5b + 7b = 49 + -7b + 7b Combine like terms: -5b + 7b = 2b 37 + 2b = 49 + -7b + 7b Combine like terms: -7b + 7b = 0 37 + 2b = 49 + 0 37 + 2b = 49 Add '-37' to each side of the equation. 37 + -37 + 2b = 49 + -37 Combine like terms: 37 + -37 = 0 0 + 2b = 49 + -37 2b = 49 + -37 Combine like terms: 49 + -37 = 12 2b = 12 Divide each side by '2'. b = 6 Simplifying b = 6
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