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Simplifying (-5d) + 40 = 5d Reorder the terms: 40 + (-5d) = 5d Solving 40 + (-5d) = 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. 40 + (-5d) + -5d = 5d + -5d Combine like terms: (-5d) + -5d = -10d 40 + -10d = 5d + -5d Combine like terms: 5d + -5d = 0 40 + -10d = 0 Add '-40' to each side of the equation. 40 + -40 + -10d = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -10d = 0 + -40 -10d = 0 + -40 Combine like terms: 0 + -40 = -40 -10d = -40 Divide each side by '-10'. d = 4 Simplifying d = 4
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