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Simplifying 3 + 5(-5 + 2b) = -30 + 8b 3 + (-5 * 5 + 2b * 5) = -30 + 8b 3 + (-25 + 10b) = -30 + 8b Combine like terms: 3 + -25 = -22 -22 + 10b = -30 + 8b Solving -22 + 10b = -30 + 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. -22 + 10b + -8b = -30 + 8b + -8b Combine like terms: 10b + -8b = 2b -22 + 2b = -30 + 8b + -8b Combine like terms: 8b + -8b = 0 -22 + 2b = -30 + 0 -22 + 2b = -30 Add '22' to each side of the equation. -22 + 22 + 2b = -30 + 22 Combine like terms: -22 + 22 = 0 0 + 2b = -30 + 22 2b = -30 + 22 Combine like terms: -30 + 22 = -8 2b = -8 Divide each side by '2'. b = -4 Simplifying b = -4
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