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Simplifying 5b + -7 + b = 7b + 21 + -5b Reorder the terms: -7 + 5b + b = 7b + 21 + -5b Combine like terms: 5b + b = 6b -7 + 6b = 7b + 21 + -5b Reorder the terms: -7 + 6b = 21 + 7b + -5b Combine like terms: 7b + -5b = 2b -7 + 6b = 21 + 2b Solving -7 + 6b = 21 + 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. -7 + 6b + -2b = 21 + 2b + -2b Combine like terms: 6b + -2b = 4b -7 + 4b = 21 + 2b + -2b Combine like terms: 2b + -2b = 0 -7 + 4b = 21 + 0 -7 + 4b = 21 Add '7' to each side of the equation. -7 + 7 + 4b = 21 + 7 Combine like terms: -7 + 7 = 0 0 + 4b = 21 + 7 4b = 21 + 7 Combine like terms: 21 + 7 = 28 4b = 28 Divide each side by '4'. b = 7 Simplifying b = 7
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