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Simplifying 55 = 15 + 16 + 2d Combine like terms: 15 + 16 = 31 55 = 31 + 2d Solving 55 = 31 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. 55 + -2d = 31 + 2d + -2d Combine like terms: 2d + -2d = 0 55 + -2d = 31 + 0 55 + -2d = 31 Add '-55' to each side of the equation. 55 + -55 + -2d = 31 + -55 Combine like terms: 55 + -55 = 0 0 + -2d = 31 + -55 -2d = 31 + -55 Combine like terms: 31 + -55 = -24 -2d = -24 Divide each side by '-2'. d = 12 Simplifying d = 12
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