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Simplifying -3(4b + -5) = 39 + 6b Reorder the terms: -3(-5 + 4b) = 39 + 6b (-5 * -3 + 4b * -3) = 39 + 6b (15 + -12b) = 39 + 6b Solving 15 + -12b = 39 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 15 + -12b + -6b = 39 + 6b + -6b Combine like terms: -12b + -6b = -18b 15 + -18b = 39 + 6b + -6b Combine like terms: 6b + -6b = 0 15 + -18b = 39 + 0 15 + -18b = 39 Add '-15' to each side of the equation. 15 + -15 + -18b = 39 + -15 Combine like terms: 15 + -15 = 0 0 + -18b = 39 + -15 -18b = 39 + -15 Combine like terms: 39 + -15 = 24 -18b = 24 Divide each side by '-18'. b = -1.333333333 Simplifying b = -1.333333333
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