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Simplifying b + 7 = 5b + -45 Reorder the terms: 7 + b = 5b + -45 Reorder the terms: 7 + b = -45 + 5b Solving 7 + b = -45 + 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. 7 + b + -5b = -45 + 5b + -5b Combine like terms: b + -5b = -4b 7 + -4b = -45 + 5b + -5b Combine like terms: 5b + -5b = 0 7 + -4b = -45 + 0 7 + -4b = -45 Add '-7' to each side of the equation. 7 + -7 + -4b = -45 + -7 Combine like terms: 7 + -7 = 0 0 + -4b = -45 + -7 -4b = -45 + -7 Combine like terms: -45 + -7 = -52 -4b = -52 Divide each side by '-4'. b = 13 Simplifying b = 13
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