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Simplifying 8b + -4(b + -2) = 42 Reorder the terms: 8b + -4(-2 + b) = 42 8b + (-2 * -4 + b * -4) = 42 8b + (8 + -4b) = 42 Reorder the terms: 8 + 8b + -4b = 42 Combine like terms: 8b + -4b = 4b 8 + 4b = 42 Solving 8 + 4b = 42 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 4b = 42 + -8 Combine like terms: 8 + -8 = 0 0 + 4b = 42 + -8 4b = 42 + -8 Combine like terms: 42 + -8 = 34 4b = 34 Divide each side by '4'. b = 8.5 Simplifying b = 8.5
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