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Simplifying -82 = 4(2b + -6) + 6 Reorder the terms: -82 = 4(-6 + 2b) + 6 -82 = (-6 * 4 + 2b * 4) + 6 -82 = (-24 + 8b) + 6 Reorder the terms: -82 = -24 + 6 + 8b Combine like terms: -24 + 6 = -18 -82 = -18 + 8b Solving -82 = -18 + 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. -82 + -8b = -18 + 8b + -8b Combine like terms: 8b + -8b = 0 -82 + -8b = -18 + 0 -82 + -8b = -18 Add '82' to each side of the equation. -82 + 82 + -8b = -18 + 82 Combine like terms: -82 + 82 = 0 0 + -8b = -18 + 82 -8b = -18 + 82 Combine like terms: -18 + 82 = 64 -8b = 64 Divide each side by '-8'. b = -8 Simplifying b = -8
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