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Simplifying (-9d) + -1d + -5d + 14d + (-2d) + -1(-19) = -20 Multiply -1 * -19 (-9d) + -1d + -5d + 14d + (-2d) + 19 = -20 Reorder the terms: 19 + (-9d) + -1d + -5d + 14d + (-2d) = -20 Combine like terms: (-9d) + -1d = -10d 19 + -10d + -5d + 14d + (-2d) = -20 Combine like terms: -10d + -5d = -15d 19 + -15d + 14d + (-2d) = -20 Combine like terms: -15d + 14d = -1d 19 + -1d + (-2d) = -20 Combine like terms: -1d + (-2d) = -3d 19 + -3d = -20 Solving 19 + -3d = -20 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -3d = -20 + -19 Combine like terms: 19 + -19 = 0 0 + -3d = -20 + -19 -3d = -20 + -19 Combine like terms: -20 + -19 = -39 -3d = -39 Divide each side by '-3'. d = 13 Simplifying d = 13
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