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Simplifying 3b(2b + -5) = 6(b2 + -5b + 6) + 139 Reorder the terms: 3b(-5 + 2b) = 6(b2 + -5b + 6) + 139 (-5 * 3b + 2b * 3b) = 6(b2 + -5b + 6) + 139 (-15b + 6b2) = 6(b2 + -5b + 6) + 139 Reorder the terms: -15b + 6b2 = 6(6 + -5b + b2) + 139 -15b + 6b2 = (6 * 6 + -5b * 6 + b2 * 6) + 139 -15b + 6b2 = (36 + -30b + 6b2) + 139 Reorder the terms: -15b + 6b2 = 36 + 139 + -30b + 6b2 Combine like terms: 36 + 139 = 175 -15b + 6b2 = 175 + -30b + 6b2 Add '-6b2' to each side of the equation. -15b + 6b2 + -6b2 = 175 + -30b + 6b2 + -6b2 Combine like terms: 6b2 + -6b2 = 0 -15b + 0 = 175 + -30b + 6b2 + -6b2 -15b = 175 + -30b + 6b2 + -6b2 Combine like terms: 6b2 + -6b2 = 0 -15b = 175 + -30b + 0 -15b = 175 + -30b Solving -15b = 175 + -30b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '30b' to each side of the equation. -15b + 30b = 175 + -30b + 30b Combine like terms: -15b + 30b = 15b 15b = 175 + -30b + 30b Combine like terms: -30b + 30b = 0 15b = 175 + 0 15b = 175 Divide each side by '15'. b = 11.66666667 Simplifying b = 11.66666667
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