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Simplifying 0.75d + -11 = 0.25d + -6.5 Reorder the terms: -11 + 0.75d = 0.25d + -6.5 Reorder the terms: -11 + 0.75d = -6.5 + 0.25d Solving -11 + 0.75d = -6.5 + 0.25d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-0.25d' to each side of the equation. -11 + 0.75d + -0.25d = -6.5 + 0.25d + -0.25d Combine like terms: 0.75d + -0.25d = 0.5d -11 + 0.5d = -6.5 + 0.25d + -0.25d Combine like terms: 0.25d + -0.25d = 0.00 -11 + 0.5d = -6.5 + 0.00 -11 + 0.5d = -6.5 Add '11' to each side of the equation. -11 + 11 + 0.5d = -6.5 + 11 Combine like terms: -11 + 11 = 0 0 + 0.5d = -6.5 + 11 0.5d = -6.5 + 11 Combine like terms: -6.5 + 11 = 4.5 0.5d = 4.5 Divide each side by '0.5'. d = 9 Simplifying d = 9
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