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Simplifying 21 = (3b + -11) + (b + 4) Reorder the terms: 21 = (-11 + 3b) + (b + 4) Remove parenthesis around (-11 + 3b) 21 = -11 + 3b + (b + 4) Reorder the terms: 21 = -11 + 3b + (4 + b) Remove parenthesis around (4 + b) 21 = -11 + 3b + 4 + b Reorder the terms: 21 = -11 + 4 + 3b + b Combine like terms: -11 + 4 = -7 21 = -7 + 3b + b Combine like terms: 3b + b = 4b 21 = -7 + 4b Solving 21 = -7 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. 21 + -4b = -7 + 4b + -4b Combine like terms: 4b + -4b = 0 21 + -4b = -7 + 0 21 + -4b = -7 Add '-21' to each side of the equation. 21 + -21 + -4b = -7 + -21 Combine like terms: 21 + -21 = 0 0 + -4b = -7 + -21 -4b = -7 + -21 Combine like terms: -7 + -21 = -28 -4b = -28 Divide each side by '-4'. b = 7 Simplifying b = 7
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