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Simplifying 2(d + 18) = -3d + -54 Reorder the terms: 2(18 + d) = -3d + -54 (18 * 2 + d * 2) = -3d + -54 (36 + 2d) = -3d + -54 Reorder the terms: 36 + 2d = -54 + -3d Solving 36 + 2d = -54 + -3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '3d' to each side of the equation. 36 + 2d + 3d = -54 + -3d + 3d Combine like terms: 2d + 3d = 5d 36 + 5d = -54 + -3d + 3d Combine like terms: -3d + 3d = 0 36 + 5d = -54 + 0 36 + 5d = -54 Add '-36' to each side of the equation. 36 + -36 + 5d = -54 + -36 Combine like terms: 36 + -36 = 0 0 + 5d = -54 + -36 5d = -54 + -36 Combine like terms: -54 + -36 = -90 5d = -90 Divide each side by '5'. d = -18 Simplifying d = -18
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