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Simplifying (-5d + 1)(-2) + -4(9k + 9) = 0 Reorder the terms: (1 + -5d)(-2) + -4(9k + 9) = 0 Reorder the terms for easier multiplication: -2(1 + -5d) + -4(9k + 9) = 0 (1 * -2 + -5d * -2) + -4(9k + 9) = 0 (-2 + 10d) + -4(9k + 9) = 0 Reorder the terms: -2 + 10d + -4(9 + 9k) = 0 -2 + 10d + (9 * -4 + 9k * -4) = 0 -2 + 10d + (-36 + -36k) = 0 Reorder the terms: -2 + -36 + 10d + -36k = 0 Combine like terms: -2 + -36 = -38 -38 + 10d + -36k = 0 Solving -38 + 10d + -36k = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 10d + 38 + -36k = 0 + 38 Reorder the terms: -38 + 38 + 10d + -36k = 0 + 38 Combine like terms: -38 + 38 = 0 0 + 10d + -36k = 0 + 38 10d + -36k = 0 + 38 Combine like terms: 0 + 38 = 38 10d + -36k = 38 Add '36k' to each side of the equation. 10d + -36k + 36k = 38 + 36k Combine like terms: -36k + 36k = 0 10d + 0 = 38 + 36k 10d = 38 + 36k Divide each side by '10'. d = 3.8 + 3.6k Simplifying d = 3.8 + 3.6k
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