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Simplifying 7(b + -2) = 5(b + 4) Reorder the terms: 7(-2 + b) = 5(b + 4) (-2 * 7 + b * 7) = 5(b + 4) (-14 + 7b) = 5(b + 4) Reorder the terms: -14 + 7b = 5(4 + b) -14 + 7b = (4 * 5 + b * 5) -14 + 7b = (20 + 5b) Solving -14 + 7b = 20 + 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. -14 + 7b + -5b = 20 + 5b + -5b Combine like terms: 7b + -5b = 2b -14 + 2b = 20 + 5b + -5b Combine like terms: 5b + -5b = 0 -14 + 2b = 20 + 0 -14 + 2b = 20 Add '14' to each side of the equation. -14 + 14 + 2b = 20 + 14 Combine like terms: -14 + 14 = 0 0 + 2b = 20 + 14 2b = 20 + 14 Combine like terms: 20 + 14 = 34 2b = 34 Divide each side by '2'. b = 17 Simplifying b = 17
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