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Simplifying -5(5 + -3b) = 8b + 45 (5 * -5 + -3b * -5) = 8b + 45 (-25 + 15b) = 8b + 45 Reorder the terms: -25 + 15b = 45 + 8b Solving -25 + 15b = 45 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. -25 + 15b + -8b = 45 + 8b + -8b Combine like terms: 15b + -8b = 7b -25 + 7b = 45 + 8b + -8b Combine like terms: 8b + -8b = 0 -25 + 7b = 45 + 0 -25 + 7b = 45 Add '25' to each side of the equation. -25 + 25 + 7b = 45 + 25 Combine like terms: -25 + 25 = 0 0 + 7b = 45 + 25 7b = 45 + 25 Combine like terms: 45 + 25 = 70 7b = 70 Divide each side by '7'. b = 10 Simplifying b = 10
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