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Simplifying -2(6d + -7) = -30 + 4d Reorder the terms: -2(-7 + 6d) = -30 + 4d (-7 * -2 + 6d * -2) = -30 + 4d (14 + -12d) = -30 + 4d Solving 14 + -12d = -30 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. 14 + -12d + -4d = -30 + 4d + -4d Combine like terms: -12d + -4d = -16d 14 + -16d = -30 + 4d + -4d Combine like terms: 4d + -4d = 0 14 + -16d = -30 + 0 14 + -16d = -30 Add '-14' to each side of the equation. 14 + -14 + -16d = -30 + -14 Combine like terms: 14 + -14 = 0 0 + -16d = -30 + -14 -16d = -30 + -14 Combine like terms: -30 + -14 = -44 -16d = -44 Divide each side by '-16'. d = 2.75 Simplifying d = 2.75
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