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Simplifying 4 + 5d + -13 = 4d + -5 Reorder the terms: 4 + -13 + 5d = 4d + -5 Combine like terms: 4 + -13 = -9 -9 + 5d = 4d + -5 Reorder the terms: -9 + 5d = -5 + 4d Solving -9 + 5d = -5 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. -9 + 5d + -4d = -5 + 4d + -4d Combine like terms: 5d + -4d = 1d -9 + 1d = -5 + 4d + -4d Combine like terms: 4d + -4d = 0 -9 + 1d = -5 + 0 -9 + 1d = -5 Add '9' to each side of the equation. -9 + 9 + 1d = -5 + 9 Combine like terms: -9 + 9 = 0 0 + 1d = -5 + 9 1d = -5 + 9 Combine like terms: -5 + 9 = 4 1d = 4 Divide each side by '1'. d = 4 Simplifying d = 4
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