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Simplifying 4(3 + -2D) + -3(4D + 7) = D + 51 (3 * 4 + -2D * 4) + -3(4D + 7) = D + 51 (12 + -8D) + -3(4D + 7) = D + 51 Reorder the terms: 12 + -8D + -3(7 + 4D) = D + 51 12 + -8D + (7 * -3 + 4D * -3) = D + 51 12 + -8D + (-21 + -12D) = D + 51 Reorder the terms: 12 + -21 + -8D + -12D = D + 51 Combine like terms: 12 + -21 = -9 -9 + -8D + -12D = D + 51 Combine like terms: -8D + -12D = -20D -9 + -20D = D + 51 Reorder the terms: -9 + -20D = 51 + D Solving -9 + -20D = 51 + D Solving for variable 'D'. Move all terms containing D to the left, all other terms to the right. Add '-1D' to each side of the equation. -9 + -20D + -1D = 51 + D + -1D Combine like terms: -20D + -1D = -21D -9 + -21D = 51 + D + -1D Combine like terms: D + -1D = 0 -9 + -21D = 51 + 0 -9 + -21D = 51 Add '9' to each side of the equation. -9 + 9 + -21D = 51 + 9 Combine like terms: -9 + 9 = 0 0 + -21D = 51 + 9 -21D = 51 + 9 Combine like terms: 51 + 9 = 60 -21D = 60 Divide each side by '-21'. D = -2.857142857 Simplifying D = -2.857142857
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