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Simplifying -5(-5b + 5) + -4(2b + 4) = -24 Reorder the terms: -5(5 + -5b) + -4(2b + 4) = -24 (5 * -5 + -5b * -5) + -4(2b + 4) = -24 (-25 + 25b) + -4(2b + 4) = -24 Reorder the terms: -25 + 25b + -4(4 + 2b) = -24 -25 + 25b + (4 * -4 + 2b * -4) = -24 -25 + 25b + (-16 + -8b) = -24 Reorder the terms: -25 + -16 + 25b + -8b = -24 Combine like terms: -25 + -16 = -41 -41 + 25b + -8b = -24 Combine like terms: 25b + -8b = 17b -41 + 17b = -24 Solving -41 + 17b = -24 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + 17b = -24 + 41 Combine like terms: -41 + 41 = 0 0 + 17b = -24 + 41 17b = -24 + 41 Combine like terms: -24 + 41 = 17 17b = 17 Divide each side by '17'. b = 1 Simplifying b = 1
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