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Simplifying d + -11 = -1[2d + -7] Reorder the terms: -11 + d = -1[2d + -7] Reorder the terms: -11 + d = -1[-7 + 2d] -11 + d = [-7 * -1 + 2d * -1] -11 + d = [7 + -2d] Solving -11 + d = 7 + -2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '2d' to each side of the equation. -11 + d + 2d = 7 + -2d + 2d Combine like terms: d + 2d = 3d -11 + 3d = 7 + -2d + 2d Combine like terms: -2d + 2d = 0 -11 + 3d = 7 + 0 -11 + 3d = 7 Add '11' to each side of the equation. -11 + 11 + 3d = 7 + 11 Combine like terms: -11 + 11 = 0 0 + 3d = 7 + 11 3d = 7 + 11 Combine like terms: 7 + 11 = 18 3d = 18 Divide each side by '3'. d = 6 Simplifying d = 6
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