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Simplifying -3b + -2(-8 + -4b) = 30 + 3b -3b + (-8 * -2 + -4b * -2) = 30 + 3b -3b + (16 + 8b) = 30 + 3b Reorder the terms: 16 + -3b + 8b = 30 + 3b Combine like terms: -3b + 8b = 5b 16 + 5b = 30 + 3b Solving 16 + 5b = 30 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 16 + 5b + -3b = 30 + 3b + -3b Combine like terms: 5b + -3b = 2b 16 + 2b = 30 + 3b + -3b Combine like terms: 3b + -3b = 0 16 + 2b = 30 + 0 16 + 2b = 30 Add '-16' to each side of the equation. 16 + -16 + 2b = 30 + -16 Combine like terms: 16 + -16 = 0 0 + 2b = 30 + -16 2b = 30 + -16 Combine like terms: 30 + -16 = 14 2b = 14 Divide each side by '2'. b = 7 Simplifying b = 7
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