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Simplifying -3(-5b + 8) = 6b + 39 Reorder the terms: -3(8 + -5b) = 6b + 39 (8 * -3 + -5b * -3) = 6b + 39 (-24 + 15b) = 6b + 39 Reorder the terms: -24 + 15b = 39 + 6b Solving -24 + 15b = 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. -24 + 15b + -6b = 39 + 6b + -6b Combine like terms: 15b + -6b = 9b -24 + 9b = 39 + 6b + -6b Combine like terms: 6b + -6b = 0 -24 + 9b = 39 + 0 -24 + 9b = 39 Add '24' to each side of the equation. -24 + 24 + 9b = 39 + 24 Combine like terms: -24 + 24 = 0 0 + 9b = 39 + 24 9b = 39 + 24 Combine like terms: 39 + 24 = 63 9b = 63 Divide each side by '9'. b = 7 Simplifying b = 7
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