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Simplifying 2d + -18 + -3d = -7 + 27d + -9 Reorder the terms: -18 + 2d + -3d = -7 + 27d + -9 Combine like terms: 2d + -3d = -1d -18 + -1d = -7 + 27d + -9 Reorder the terms: -18 + -1d = -7 + -9 + 27d Combine like terms: -7 + -9 = -16 -18 + -1d = -16 + 27d Solving -18 + -1d = -16 + 27d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-27d' to each side of the equation. -18 + -1d + -27d = -16 + 27d + -27d Combine like terms: -1d + -27d = -28d -18 + -28d = -16 + 27d + -27d Combine like terms: 27d + -27d = 0 -18 + -28d = -16 + 0 -18 + -28d = -16 Add '18' to each side of the equation. -18 + 18 + -28d = -16 + 18 Combine like terms: -18 + 18 = 0 0 + -28d = -16 + 18 -28d = -16 + 18 Combine like terms: -16 + 18 = 2 -28d = 2 Divide each side by '-28'. d = -0.07142857143 Simplifying d = -0.07142857143
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