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Simplifying 16 + [6 + 5(4b + -1)] + 7(b + -10) = 0 Reorder the terms: 16 + [6 + 5(-1 + 4b)] + 7(b + -10) = 0 16 + [6 + (-1 * 5 + 4b * 5)] + 7(b + -10) = 0 16 + [6 + (-5 + 20b)] + 7(b + -10) = 0 Combine like terms: 6 + -5 = 1 16 + [1 + 20b] + 7(b + -10) = 0 Remove brackets around [1 + 20b] 16 + 1 + 20b + 7(b + -10) = 0 Reorder the terms: 16 + 1 + 20b + 7(-10 + b) = 0 16 + 1 + 20b + (-10 * 7 + b * 7) = 0 16 + 1 + 20b + (-70 + 7b) = 0 Reorder the terms: 16 + 1 + -70 + 20b + 7b = 0 Combine like terms: 16 + 1 = 17 17 + -70 + 20b + 7b = 0 Combine like terms: 17 + -70 = -53 -53 + 20b + 7b = 0 Combine like terms: 20b + 7b = 27b -53 + 27b = 0 Solving -53 + 27b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '53' to each side of the equation. -53 + 53 + 27b = 0 + 53 Combine like terms: -53 + 53 = 0 0 + 27b = 0 + 53 27b = 0 + 53 Combine like terms: 0 + 53 = 53 27b = 53 Divide each side by '27'. b = 1.962962963 Simplifying b = 1.962962963
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