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Simplifying 27 + 2d = 22.50 + 5d Solving 27 + 2d = 22.50 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 27 + 2d + -5d = 22.50 + 5d + -5d Combine like terms: 2d + -5d = -3d 27 + -3d = 22.50 + 5d + -5d Combine like terms: 5d + -5d = 0 27 + -3d = 22.50 + 0 27 + -3d = 22.50 Add '-27' to each side of the equation. 27 + -27 + -3d = 22.50 + -27 Combine like terms: 27 + -27 = 0 0 + -3d = 22.50 + -27 -3d = 22.50 + -27 Combine like terms: 22.50 + -27 = -4.5 -3d = -4.5 Divide each side by '-3'. d = 1.5 Simplifying d = 1.5
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