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Simplifying -3d + -5 + 4d + -7(2d + -3) = -13 Reorder the terms: -3d + -5 + 4d + -7(-3 + 2d) = -13 -3d + -5 + 4d + (-3 * -7 + 2d * -7) = -13 -3d + -5 + 4d + (21 + -14d) = -13 Reorder the terms: -5 + 21 + -3d + 4d + -14d = -13 Combine like terms: -5 + 21 = 16 16 + -3d + 4d + -14d = -13 Combine like terms: -3d + 4d = 1d 16 + 1d + -14d = -13 Combine like terms: 1d + -14d = -13d 16 + -13d = -13 Solving 16 + -13d = -13 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -13d = -13 + -16 Combine like terms: 16 + -16 = 0 0 + -13d = -13 + -16 -13d = -13 + -16 Combine like terms: -13 + -16 = -29 -13d = -29 Divide each side by '-13'. d = 2.230769231 Simplifying d = 2.230769231
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