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Simplifying b + 39 = 4(-5b + 7) Reorder the terms: 39 + b = 4(-5b + 7) Reorder the terms: 39 + b = 4(7 + -5b) 39 + b = (7 * 4 + -5b * 4) 39 + b = (28 + -20b) Solving 39 + b = 28 + -20b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '20b' to each side of the equation. 39 + b + 20b = 28 + -20b + 20b Combine like terms: b + 20b = 21b 39 + 21b = 28 + -20b + 20b Combine like terms: -20b + 20b = 0 39 + 21b = 28 + 0 39 + 21b = 28 Add '-39' to each side of the equation. 39 + -39 + 21b = 28 + -39 Combine like terms: 39 + -39 = 0 0 + 21b = 28 + -39 21b = 28 + -39 Combine like terms: 28 + -39 = -11 21b = -11 Divide each side by '21'. b = -0.5238095238 Simplifying b = -0.5238095238
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