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Simplifying 4d + 1 + -6D = 3(5 + -3d) Reorder the terms: 1 + -6D + 4d = 3(5 + -3d) 1 + -6D + 4d = (5 * 3 + -3d * 3) 1 + -6D + 4d = (15 + -9d) Solving 1 + -6D + 4d = 15 + -9d Solving for variable 'D'. Move all terms containing D to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -6D + -1 + 4d = 15 + -1 + -9d Reorder the terms: 1 + -1 + -6D + 4d = 15 + -1 + -9d Combine like terms: 1 + -1 = 0 0 + -6D + 4d = 15 + -1 + -9d -6D + 4d = 15 + -1 + -9d Combine like terms: 15 + -1 = 14 -6D + 4d = 14 + -9d Add '-4d' to each side of the equation. -6D + 4d + -4d = 14 + -9d + -4d Combine like terms: 4d + -4d = 0 -6D + 0 = 14 + -9d + -4d -6D = 14 + -9d + -4d Combine like terms: -9d + -4d = -13d -6D = 14 + -13d Divide each side by '-6'. D = -2.333333333 + 2.166666667d Simplifying D = -2.333333333 + 2.166666667d
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