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Simplifying -11d + -2d + -1 = 27 + d Reorder the terms: -1 + -11d + -2d = 27 + d Combine like terms: -11d + -2d = -13d -1 + -13d = 27 + d Solving -1 + -13d = 27 + d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. -1 + -13d + -1d = 27 + d + -1d Combine like terms: -13d + -1d = -14d -1 + -14d = 27 + d + -1d Combine like terms: d + -1d = 0 -1 + -14d = 27 + 0 -1 + -14d = 27 Add '1' to each side of the equation. -1 + 1 + -14d = 27 + 1 Combine like terms: -1 + 1 = 0 0 + -14d = 27 + 1 -14d = 27 + 1 Combine like terms: 27 + 1 = 28 -14d = 28 Divide each side by '-14'. d = -2 Simplifying d = -2
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