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Simplifying 6(8b + -1) = 5b + 47 Reorder the terms: 6(-1 + 8b) = 5b + 47 (-1 * 6 + 8b * 6) = 5b + 47 (-6 + 48b) = 5b + 47 Reorder the terms: -6 + 48b = 47 + 5b Solving -6 + 48b = 47 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. -6 + 48b + -5b = 47 + 5b + -5b Combine like terms: 48b + -5b = 43b -6 + 43b = 47 + 5b + -5b Combine like terms: 5b + -5b = 0 -6 + 43b = 47 + 0 -6 + 43b = 47 Add '6' to each side of the equation. -6 + 6 + 43b = 47 + 6 Combine like terms: -6 + 6 = 0 0 + 43b = 47 + 6 43b = 47 + 6 Combine like terms: 47 + 6 = 53 43b = 53 Divide each side by '43'. b = 1.23255814 Simplifying b = 1.23255814
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