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Simplifying 4d + (d + -4) = 45.75 Reorder the terms: 4d + (-4 + d) = 45.75 Remove parenthesis around (-4 + d) 4d + -4 + d = 45.75 Reorder the terms: -4 + 4d + d = 45.75 Combine like terms: 4d + d = 5d -4 + 5d = 45.75 Solving -4 + 5d = 45.75 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 5d = 45.75 + 4 Combine like terms: -4 + 4 = 0 0 + 5d = 45.75 + 4 5d = 45.75 + 4 Combine like terms: 45.75 + 4 = 49.75 5d = 49.75 Divide each side by '5'. d = 9.95 Simplifying d = 9.95
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