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Simplifying 7(D + -2) = 2(D + 30) Reorder the terms: 7(-2 + D) = 2(D + 30) (-2 * 7 + D * 7) = 2(D + 30) (-14 + 7D) = 2(D + 30) Reorder the terms: -14 + 7D = 2(30 + D) -14 + 7D = (30 * 2 + D * 2) -14 + 7D = (60 + 2D) Solving -14 + 7D = 60 + 2D Solving for variable 'D'. Move all terms containing D to the left, all other terms to the right. Add '-2D' to each side of the equation. -14 + 7D + -2D = 60 + 2D + -2D Combine like terms: 7D + -2D = 5D -14 + 5D = 60 + 2D + -2D Combine like terms: 2D + -2D = 0 -14 + 5D = 60 + 0 -14 + 5D = 60 Add '14' to each side of the equation. -14 + 14 + 5D = 60 + 14 Combine like terms: -14 + 14 = 0 0 + 5D = 60 + 14 5D = 60 + 14 Combine like terms: 60 + 14 = 74 5D = 74 Divide each side by '5'. D = 14.8 Simplifying D = 14.8
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