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Simplifying D + 179 = 15(7 + -1d) + 16d + 74 Reorder the terms: 179 + D = 15(7 + -1d) + 16d + 74 179 + D = (7 * 15 + -1d * 15) + 16d + 74 179 + D = (105 + -15d) + 16d + 74 Reorder the terms: 179 + D = 105 + 74 + -15d + 16d Combine like terms: 105 + 74 = 179 179 + D = 179 + -15d + 16d Combine like terms: -15d + 16d = 1d 179 + D = 179 + 1d Add '-179' to each side of the equation. 179 + -179 + D = 179 + -179 + 1d Combine like terms: 179 + -179 = 0 0 + D = 179 + -179 + 1d D = 179 + -179 + 1d Combine like terms: 179 + -179 = 0 D = 0 + 1d D = 1d Solving D = 1d Solving for variable 'D'. Move all terms containing D to the left, all other terms to the right. Simplifying D = 1d
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