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Simplifying (4m + 7) + (3d + 8)(4m + 7) + (3d + 8) = 0 Reorder the terms: (7 + 4m) + (3d + 8)(4m + 7) + (3d + 8) = 0 Remove parenthesis around (7 + 4m) 7 + 4m + (3d + 8)(4m + 7) + (3d + 8) = 0 Reorder the terms: 7 + 4m + (8 + 3d)(4m + 7) + (3d + 8) = 0 Reorder the terms: 7 + 4m + (8 + 3d)(7 + 4m) + (3d + 8) = 0 Multiply (8 + 3d) * (7 + 4m) 7 + 4m + (8(7 + 4m) + 3d * (7 + 4m)) + (3d + 8) = 0 7 + 4m + ((7 * 8 + 4m * 8) + 3d * (7 + 4m)) + (3d + 8) = 0 7 + 4m + ((56 + 32m) + 3d * (7 + 4m)) + (3d + 8) = 0 7 + 4m + (56 + 32m + (7 * 3d + 4m * 3d)) + (3d + 8) = 0 7 + 4m + (56 + 32m + (21d + 12dm)) + (3d + 8) = 0 Reorder the terms: 7 + 4m + (56 + 21d + 12dm + 32m) + (3d + 8) = 0 7 + 4m + (56 + 21d + 12dm + 32m) + (3d + 8) = 0 Reorder the terms: 7 + 4m + 56 + 21d + 12dm + 32m + (8 + 3d) = 0 Remove parenthesis around (8 + 3d) 7 + 4m + 56 + 21d + 12dm + 32m + 8 + 3d = 0 Reorder the terms: 7 + 56 + 8 + 21d + 3d + 12dm + 4m + 32m = 0 Combine like terms: 7 + 56 = 63 63 + 8 + 21d + 3d + 12dm + 4m + 32m = 0 Combine like terms: 63 + 8 = 71 71 + 21d + 3d + 12dm + 4m + 32m = 0 Combine like terms: 21d + 3d = 24d 71 + 24d + 12dm + 4m + 32m = 0 Combine like terms: 4m + 32m = 36m 71 + 24d + 12dm + 36m = 0 Solving 71 + 24d + 12dm + 36m = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-71' to each side of the equation. 71 + 24d + 12dm + -71 + 36m = 0 + -71 Reorder the terms: 71 + -71 + 24d + 12dm + 36m = 0 + -71 Combine like terms: 71 + -71 = 0 0 + 24d + 12dm + 36m = 0 + -71 24d + 12dm + 36m = 0 + -71 Combine like terms: 0 + -71 = -71 24d + 12dm + 36m = -71 Add '-36m' to each side of the equation. 24d + 12dm + 36m + -36m = -71 + -36m Combine like terms: 36m + -36m = 0 24d + 12dm + 0 = -71 + -36m 24d + 12dm = -71 + -36m Reorder the terms: 71 + 24d + 12dm + 36m = -71 + -36m + 71 + 36m Reorder the terms: 71 + 24d + 12dm + 36m = -71 + 71 + -36m + 36m Combine like terms: -71 + 71 = 0 71 + 24d + 12dm + 36m = 0 + -36m + 36m 71 + 24d + 12dm + 36m = -36m + 36m Combine like terms: -36m + 36m = 0 71 + 24d + 12dm + 36m = 0 The solution to this equation could not be determined.
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