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Simplifying 2b + 2d = b + 2d * 1.414 Reorder the terms for easier multiplication: 2b + 2d = b + 2 * 1.414d Multiply 2 * 1.414 2b + 2d = b + 2.828d Solving 2b + 2d = b + 2.828d Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 2b + -1b + 2d = b + -1b + 2.828d Combine like terms: 2b + -1b = 1b 1b + 2d = b + -1b + 2.828d Combine like terms: b + -1b = 0 1b + 2d = 0 + 2.828d 1b + 2d = 2.828d Add '-2d' to each side of the equation. 1b + 2d + -2d = 2.828d + -2d Combine like terms: 2d + -2d = 0 1b + 0 = 2.828d + -2d 1b = 2.828d + -2d Combine like terms: 2.828d + -2d = 0.828d 1b = 0.828d Divide each side by '1'. b = 0.828d Simplifying b = 0.828d
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