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Simplifying 14d + -15 = 11d + d + 11 Reorder the terms: -15 + 14d = 11d + d + 11 Reorder the terms: -15 + 14d = 11 + 11d + d Combine like terms: 11d + d = 12d -15 + 14d = 11 + 12d Solving -15 + 14d = 11 + 12d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-12d' to each side of the equation. -15 + 14d + -12d = 11 + 12d + -12d Combine like terms: 14d + -12d = 2d -15 + 2d = 11 + 12d + -12d Combine like terms: 12d + -12d = 0 -15 + 2d = 11 + 0 -15 + 2d = 11 Add '15' to each side of the equation. -15 + 15 + 2d = 11 + 15 Combine like terms: -15 + 15 = 0 0 + 2d = 11 + 15 2d = 11 + 15 Combine like terms: 11 + 15 = 26 2d = 26 Divide each side by '2'. d = 13 Simplifying d = 13
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