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Simplifying -5(2b + 5) = 17 + 4b Reorder the terms: -5(5 + 2b) = 17 + 4b (5 * -5 + 2b * -5) = 17 + 4b (-25 + -10b) = 17 + 4b Solving -25 + -10b = 17 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -25 + -10b + -4b = 17 + 4b + -4b Combine like terms: -10b + -4b = -14b -25 + -14b = 17 + 4b + -4b Combine like terms: 4b + -4b = 0 -25 + -14b = 17 + 0 -25 + -14b = 17 Add '25' to each side of the equation. -25 + 25 + -14b = 17 + 25 Combine like terms: -25 + 25 = 0 0 + -14b = 17 + 25 -14b = 17 + 25 Combine like terms: 17 + 25 = 42 -14b = 42 Divide each side by '-14'. b = -3 Simplifying b = -3
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