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Simplifying 6(8b + -1) = 5b + 37 Reorder the terms: 6(-1 + 8b) = 5b + 37 (-1 * 6 + 8b * 6) = 5b + 37 (-6 + 48b) = 5b + 37 Reorder the terms: -6 + 48b = 37 + 5b Solving -6 + 48b = 37 + 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 = 37 + 5b + -5b Combine like terms: 48b + -5b = 43b -6 + 43b = 37 + 5b + -5b Combine like terms: 5b + -5b = 0 -6 + 43b = 37 + 0 -6 + 43b = 37 Add '6' to each side of the equation. -6 + 6 + 43b = 37 + 6 Combine like terms: -6 + 6 = 0 0 + 43b = 37 + 6 43b = 37 + 6 Combine like terms: 37 + 6 = 43 43b = 43 Divide each side by '43'. b = 1 Simplifying b = 1
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