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Simplifying d + 9(-3) = -2(4d + 1) Multiply 9 * -3 d + -27 = -2(4d + 1) Reorder the terms: -27 + d = -2(4d + 1) Reorder the terms: -27 + d = -2(1 + 4d) -27 + d = (1 * -2 + 4d * -2) -27 + d = (-2 + -8d) Solving -27 + d = -2 + -8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '8d' to each side of the equation. -27 + d + 8d = -2 + -8d + 8d Combine like terms: d + 8d = 9d -27 + 9d = -2 + -8d + 8d Combine like terms: -8d + 8d = 0 -27 + 9d = -2 + 0 -27 + 9d = -2 Add '27' to each side of the equation. -27 + 27 + 9d = -2 + 27 Combine like terms: -27 + 27 = 0 0 + 9d = -2 + 27 9d = -2 + 27 Combine like terms: -2 + 27 = 25 9d = 25 Divide each side by '9'. d = 2.777777778 Simplifying d = 2.777777778
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