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Simplifying 6d + -0.5 = 2d + -13.5 Reorder the terms: -0.5 + 6d = 2d + -13.5 Reorder the terms: -0.5 + 6d = -13.5 + 2d Solving -0.5 + 6d = -13.5 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. -0.5 + 6d + -2d = -13.5 + 2d + -2d Combine like terms: 6d + -2d = 4d -0.5 + 4d = -13.5 + 2d + -2d Combine like terms: 2d + -2d = 0 -0.5 + 4d = -13.5 + 0 -0.5 + 4d = -13.5 Add '0.5' to each side of the equation. -0.5 + 0.5 + 4d = -13.5 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 4d = -13.5 + 0.5 4d = -13.5 + 0.5 Combine like terms: -13.5 + 0.5 = -13 4d = -13 Divide each side by '4'. d = -3.25 Simplifying d = -3.25
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