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Simplifying 27 + 4b = 5 + 5(5b + -5) Reorder the terms: 27 + 4b = 5 + 5(-5 + 5b) 27 + 4b = 5 + (-5 * 5 + 5b * 5) 27 + 4b = 5 + (-25 + 25b) Combine like terms: 5 + -25 = -20 27 + 4b = -20 + 25b Solving 27 + 4b = -20 + 25b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-25b' to each side of the equation. 27 + 4b + -25b = -20 + 25b + -25b Combine like terms: 4b + -25b = -21b 27 + -21b = -20 + 25b + -25b Combine like terms: 25b + -25b = 0 27 + -21b = -20 + 0 27 + -21b = -20 Add '-27' to each side of the equation. 27 + -27 + -21b = -20 + -27 Combine like terms: 27 + -27 = 0 0 + -21b = -20 + -27 -21b = -20 + -27 Combine like terms: -20 + -27 = -47 -21b = -47 Divide each side by '-21'. b = 2.238095238 Simplifying b = 2.238095238
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