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Simplifying 3b + -2(b + -8) = 83 Reorder the terms: 3b + -2(-8 + b) = 83 3b + (-8 * -2 + b * -2) = 83 3b + (16 + -2b) = 83 Reorder the terms: 16 + 3b + -2b = 83 Combine like terms: 3b + -2b = 1b 16 + 1b = 83 Solving 16 + 1b = 83 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 1b = 83 + -16 Combine like terms: 16 + -16 = 0 0 + 1b = 83 + -16 1b = 83 + -16 Combine like terms: 83 + -16 = 67 1b = 67 Divide each side by '1'. b = 67 Simplifying b = 67
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