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Simplifying -2(7 + -8b) = -38 + 4b (7 * -2 + -8b * -2) = -38 + 4b (-14 + 16b) = -38 + 4b Solving -14 + 16b = -38 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -14 + 16b + -4b = -38 + 4b + -4b Combine like terms: 16b + -4b = 12b -14 + 12b = -38 + 4b + -4b Combine like terms: 4b + -4b = 0 -14 + 12b = -38 + 0 -14 + 12b = -38 Add '14' to each side of the equation. -14 + 14 + 12b = -38 + 14 Combine like terms: -14 + 14 = 0 0 + 12b = -38 + 14 12b = -38 + 14 Combine like terms: -38 + 14 = -24 12b = -24 Divide each side by '12'. b = -2 Simplifying b = -2
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