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Simplifying 4(b + 7) = 2b + 37 Reorder the terms: 4(7 + b) = 2b + 37 (7 * 4 + b * 4) = 2b + 37 (28 + 4b) = 2b + 37 Reorder the terms: 28 + 4b = 37 + 2b Solving 28 + 4b = 37 + 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. 28 + 4b + -2b = 37 + 2b + -2b Combine like terms: 4b + -2b = 2b 28 + 2b = 37 + 2b + -2b Combine like terms: 2b + -2b = 0 28 + 2b = 37 + 0 28 + 2b = 37 Add '-28' to each side of the equation. 28 + -28 + 2b = 37 + -28 Combine like terms: 28 + -28 = 0 0 + 2b = 37 + -28 2b = 37 + -28 Combine like terms: 37 + -28 = 9 2b = 9 Divide each side by '2'. b = 4.5 Simplifying b = 4.5
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