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Simplifying 7 + -2(2D + -1) + -14(d + 1) = 59 + -8d Reorder the terms: 7 + -2(-1 + 2D) + -14(d + 1) = 59 + -8d 7 + (-1 * -2 + 2D * -2) + -14(d + 1) = 59 + -8d 7 + (2 + -4D) + -14(d + 1) = 59 + -8d Reorder the terms: 7 + 2 + -4D + -14(1 + d) = 59 + -8d 7 + 2 + -4D + (1 * -14 + d * -14) = 59 + -8d 7 + 2 + -4D + (-14 + -14d) = 59 + -8d Reorder the terms: 7 + 2 + -14 + -4D + -14d = 59 + -8d Combine like terms: 7 + 2 = 9 9 + -14 + -4D + -14d = 59 + -8d Combine like terms: 9 + -14 = -5 -5 + -4D + -14d = 59 + -8d Solving -5 + -4D + -14d = 59 + -8d Solving for variable 'D'. Move all terms containing D to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -4D + 5 + -14d = 59 + 5 + -8d Reorder the terms: -5 + 5 + -4D + -14d = 59 + 5 + -8d Combine like terms: -5 + 5 = 0 0 + -4D + -14d = 59 + 5 + -8d -4D + -14d = 59 + 5 + -8d Combine like terms: 59 + 5 = 64 -4D + -14d = 64 + -8d Add '14d' to each side of the equation. -4D + -14d + 14d = 64 + -8d + 14d Combine like terms: -14d + 14d = 0 -4D + 0 = 64 + -8d + 14d -4D = 64 + -8d + 14d Combine like terms: -8d + 14d = 6d -4D = 64 + 6d Divide each side by '-4'. D = -16 + -1.5d Simplifying D = -16 + -1.5d
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