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Simplifying 6 + 4(7 + -6b) = 82 6 + (7 * 4 + -6b * 4) = 82 6 + (28 + -24b) = 82 Combine like terms: 6 + 28 = 34 34 + -24b = 82 Solving 34 + -24b = 82 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + -24b = 82 + -34 Combine like terms: 34 + -34 = 0 0 + -24b = 82 + -34 -24b = 82 + -34 Combine like terms: 82 + -34 = 48 -24b = 48 Divide each side by '-24'. b = -2 Simplifying b = -2
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