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Simplifying 4[d + -4] + 2 = 3[d + 1] Reorder the terms: 4[-4 + d] + 2 = 3[d + 1] [-4 * 4 + d * 4] + 2 = 3[d + 1] [-16 + 4d] + 2 = 3[d + 1] Reorder the terms: -16 + 2 + 4d = 3[d + 1] Combine like terms: -16 + 2 = -14 -14 + 4d = 3[d + 1] Reorder the terms: -14 + 4d = 3[1 + d] -14 + 4d = [1 * 3 + d * 3] -14 + 4d = [3 + 3d] Solving -14 + 4d = 3 + 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. -14 + 4d + -3d = 3 + 3d + -3d Combine like terms: 4d + -3d = 1d -14 + 1d = 3 + 3d + -3d Combine like terms: 3d + -3d = 0 -14 + 1d = 3 + 0 -14 + 1d = 3 Add '14' to each side of the equation. -14 + 14 + 1d = 3 + 14 Combine like terms: -14 + 14 = 0 0 + 1d = 3 + 14 1d = 3 + 14 Combine like terms: 3 + 14 = 17 1d = 17 Divide each side by '1'. d = 17 Simplifying d = 17
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