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Simplifying -7(7 + -1d) = 7d + -4d (7 * -7 + -1d * -7) = 7d + -4d (-49 + 7d) = 7d + -4d Combine like terms: 7d + -4d = 3d -49 + 7d = 3d Solving -49 + 7d = 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. -49 + 7d + -3d = 3d + -3d Combine like terms: 7d + -3d = 4d -49 + 4d = 3d + -3d Combine like terms: 3d + -3d = 0 -49 + 4d = 0 Add '49' to each side of the equation. -49 + 49 + 4d = 0 + 49 Combine like terms: -49 + 49 = 0 0 + 4d = 0 + 49 4d = 0 + 49 Combine like terms: 0 + 49 = 49 4d = 49 Divide each side by '4'. d = 12.25 Simplifying d = 12.25
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