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Simplifying 7(d + -2) = 5(d + 2) Reorder the terms: 7(-2 + d) = 5(d + 2) (-2 * 7 + d * 7) = 5(d + 2) (-14 + 7d) = 5(d + 2) Reorder the terms: -14 + 7d = 5(2 + d) -14 + 7d = (2 * 5 + d * 5) -14 + 7d = (10 + 5d) Solving -14 + 7d = 10 + 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 = 10 + 5d + -5d Combine like terms: 7d + -5d = 2d -14 + 2d = 10 + 5d + -5d Combine like terms: 5d + -5d = 0 -14 + 2d = 10 + 0 -14 + 2d = 10 Add '14' to each side of the equation. -14 + 14 + 2d = 10 + 14 Combine like terms: -14 + 14 = 0 0 + 2d = 10 + 14 2d = 10 + 14 Combine like terms: 10 + 14 = 24 2d = 24 Divide each side by '2'. d = 12 Simplifying d = 12
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