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Simplifying -2b + 7(4b + -2) = -38 + 2b Reorder the terms: -2b + 7(-2 + 4b) = -38 + 2b -2b + (-2 * 7 + 4b * 7) = -38 + 2b -2b + (-14 + 28b) = -38 + 2b Reorder the terms: -14 + -2b + 28b = -38 + 2b Combine like terms: -2b + 28b = 26b -14 + 26b = -38 + 2b Solving -14 + 26b = -38 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -14 + 26b + -2b = -38 + 2b + -2b Combine like terms: 26b + -2b = 24b -14 + 24b = -38 + 2b + -2b Combine like terms: 2b + -2b = 0 -14 + 24b = -38 + 0 -14 + 24b = -38 Add '14' to each side of the equation. -14 + 14 + 24b = -38 + 14 Combine like terms: -14 + 14 = 0 0 + 24b = -38 + 14 24b = -38 + 14 Combine like terms: -38 + 14 = -24 24b = -24 Divide each side by '24'. b = -1 Simplifying b = -1
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