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Simplifying 7(d + -2) = 5d + 2 Reorder the terms: 7(-2 + d) = 5d + 2 (-2 * 7 + d * 7) = 5d + 2 (-14 + 7d) = 5d + 2 Reorder the terms: -14 + 7d = 2 + 5d Solving -14 + 7d = 2 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. -14 + 7d + -5d = 2 + 5d + -5d Combine like terms: 7d + -5d = 2d -14 + 2d = 2 + 5d + -5d Combine like terms: 5d + -5d = 0 -14 + 2d = 2 + 0 -14 + 2d = 2 Add '14' to each side of the equation. -14 + 14 + 2d = 2 + 14 Combine like terms: -14 + 14 = 0 0 + 2d = 2 + 14 2d = 2 + 14 Combine like terms: 2 + 14 = 16 2d = 16 Divide each side by '2'. d = 8 Simplifying d = 8
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