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Simplifying -12.98 + 6.5d = 12d + 12.56 + 5.81 Reorder the terms: -12.98 + 6.5d = 12.56 + 5.81 + 12d Combine like terms: 12.56 + 5.81 = 18.37 -12.98 + 6.5d = 18.37 + 12d Solving -12.98 + 6.5d = 18.37 + 12d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-12d' to each side of the equation. -12.98 + 6.5d + -12d = 18.37 + 12d + -12d Combine like terms: 6.5d + -12d = -5.5d -12.98 + -5.5d = 18.37 + 12d + -12d Combine like terms: 12d + -12d = 0 -12.98 + -5.5d = 18.37 + 0 -12.98 + -5.5d = 18.37 Add '12.98' to each side of the equation. -12.98 + 12.98 + -5.5d = 18.37 + 12.98 Combine like terms: -12.98 + 12.98 = 0.00 0.00 + -5.5d = 18.37 + 12.98 -5.5d = 18.37 + 12.98 Combine like terms: 18.37 + 12.98 = 31.35 -5.5d = 31.35 Divide each side by '-5.5'. d = -5.7 Simplifying d = -5.7
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