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Simplifying -4b + -3 + 7b = 5b + 47 Reorder the terms: -3 + -4b + 7b = 5b + 47 Combine like terms: -4b + 7b = 3b -3 + 3b = 5b + 47 Reorder the terms: -3 + 3b = 47 + 5b Solving -3 + 3b = 47 + 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. -3 + 3b + -5b = 47 + 5b + -5b Combine like terms: 3b + -5b = -2b -3 + -2b = 47 + 5b + -5b Combine like terms: 5b + -5b = 0 -3 + -2b = 47 + 0 -3 + -2b = 47 Add '3' to each side of the equation. -3 + 3 + -2b = 47 + 3 Combine like terms: -3 + 3 = 0 0 + -2b = 47 + 3 -2b = 47 + 3 Combine like terms: 47 + 3 = 50 -2b = 50 Divide each side by '-2'. b = -25 Simplifying b = -25
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