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Simplifying 2(1 + 8b) + 8(b + -2) = -38 (1 * 2 + 8b * 2) + 8(b + -2) = -38 (2 + 16b) + 8(b + -2) = -38 Reorder the terms: 2 + 16b + 8(-2 + b) = -38 2 + 16b + (-2 * 8 + b * 8) = -38 2 + 16b + (-16 + 8b) = -38 Reorder the terms: 2 + -16 + 16b + 8b = -38 Combine like terms: 2 + -16 = -14 -14 + 16b + 8b = -38 Combine like terms: 16b + 8b = 24b -14 + 24b = -38 Solving -14 + 24b = -38 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. 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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