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Simplifying -82 = -2(8b + 3) + 4 Reorder the terms: -82 = -2(3 + 8b) + 4 -82 = (3 * -2 + 8b * -2) + 4 -82 = (-6 + -16b) + 4 Reorder the terms: -82 = -6 + 4 + -16b Combine like terms: -6 + 4 = -2 -82 = -2 + -16b Solving -82 = -2 + -16b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '16b' to each side of the equation. -82 + 16b = -2 + -16b + 16b Combine like terms: -16b + 16b = 0 -82 + 16b = -2 + 0 -82 + 16b = -2 Add '82' to each side of the equation. -82 + 82 + 16b = -2 + 82 Combine like terms: -82 + 82 = 0 0 + 16b = -2 + 82 16b = -2 + 82 Combine like terms: -2 + 82 = 80 16b = 80 Divide each side by '16'. b = 5 Simplifying b = 5
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