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Simplifying -7(2d + 8) = 4d + 16 Reorder the terms: -7(8 + 2d) = 4d + 16 (8 * -7 + 2d * -7) = 4d + 16 (-56 + -14d) = 4d + 16 Reorder the terms: -56 + -14d = 16 + 4d Solving -56 + -14d = 16 + 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. -56 + -14d + -4d = 16 + 4d + -4d Combine like terms: -14d + -4d = -18d -56 + -18d = 16 + 4d + -4d Combine like terms: 4d + -4d = 0 -56 + -18d = 16 + 0 -56 + -18d = 16 Add '56' to each side of the equation. -56 + 56 + -18d = 16 + 56 Combine like terms: -56 + 56 = 0 0 + -18d = 16 + 56 -18d = 16 + 56 Combine like terms: 16 + 56 = 72 -18d = 72 Divide each side by '-18'. d = -4 Simplifying d = -4
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