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Simplifying -6[b + -3(25 + -5)] + 7 = 4b + -5 Combine like terms: 25 + -5 = 20 -6[b + -3(20)] + 7 = 4b + -5 Multiply -3 * 20 -6[b + -60] + 7 = 4b + -5 Reorder the terms: -6[-60 + b] + 7 = 4b + -5 [-60 * -6 + b * -6] + 7 = 4b + -5 [360 + -6b] + 7 = 4b + -5 Reorder the terms: 360 + 7 + -6b = 4b + -5 Combine like terms: 360 + 7 = 367 367 + -6b = 4b + -5 Reorder the terms: 367 + -6b = -5 + 4b Solving 367 + -6b = -5 + 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. 367 + -6b + -4b = -5 + 4b + -4b Combine like terms: -6b + -4b = -10b 367 + -10b = -5 + 4b + -4b Combine like terms: 4b + -4b = 0 367 + -10b = -5 + 0 367 + -10b = -5 Add '-367' to each side of the equation. 367 + -367 + -10b = -5 + -367 Combine like terms: 367 + -367 = 0 0 + -10b = -5 + -367 -10b = -5 + -367 Combine like terms: -5 + -367 = -372 -10b = -372 Divide each side by '-10'. b = 37.2 Simplifying b = 37.2
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