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Simplifying -31 + -3d = -6(4d + -2) Reorder the terms: -31 + -3d = -6(-2 + 4d) -31 + -3d = (-2 * -6 + 4d * -6) -31 + -3d = (12 + -24d) Solving -31 + -3d = 12 + -24d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '24d' to each side of the equation. -31 + -3d + 24d = 12 + -24d + 24d Combine like terms: -3d + 24d = 21d -31 + 21d = 12 + -24d + 24d Combine like terms: -24d + 24d = 0 -31 + 21d = 12 + 0 -31 + 21d = 12 Add '31' to each side of the equation. -31 + 31 + 21d = 12 + 31 Combine like terms: -31 + 31 = 0 0 + 21d = 12 + 31 21d = 12 + 31 Combine like terms: 12 + 31 = 43 21d = 43 Divide each side by '21'. d = 2.047619048 Simplifying d = 2.047619048
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