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Simplifying -9(d + 2) + -9 = -20 + -13d + -19 Reorder the terms: -9(2 + d) + -9 = -20 + -13d + -19 (2 * -9 + d * -9) + -9 = -20 + -13d + -19 (-18 + -9d) + -9 = -20 + -13d + -19 Reorder the terms: -18 + -9 + -9d = -20 + -13d + -19 Combine like terms: -18 + -9 = -27 -27 + -9d = -20 + -13d + -19 Reorder the terms: -27 + -9d = -20 + -19 + -13d Combine like terms: -20 + -19 = -39 -27 + -9d = -39 + -13d Solving -27 + -9d = -39 + -13d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '13d' to each side of the equation. -27 + -9d + 13d = -39 + -13d + 13d Combine like terms: -9d + 13d = 4d -27 + 4d = -39 + -13d + 13d Combine like terms: -13d + 13d = 0 -27 + 4d = -39 + 0 -27 + 4d = -39 Add '27' to each side of the equation. -27 + 27 + 4d = -39 + 27 Combine like terms: -27 + 27 = 0 0 + 4d = -39 + 27 4d = -39 + 27 Combine like terms: -39 + 27 = -12 4d = -12 Divide each side by '4'. d = -3 Simplifying d = -3
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