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Simplifying 5d + 20 = 10d + -45 Reorder the terms: 20 + 5d = 10d + -45 Reorder the terms: 20 + 5d = -45 + 10d Solving 20 + 5d = -45 + 10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-10d' to each side of the equation. 20 + 5d + -10d = -45 + 10d + -10d Combine like terms: 5d + -10d = -5d 20 + -5d = -45 + 10d + -10d Combine like terms: 10d + -10d = 0 20 + -5d = -45 + 0 20 + -5d = -45 Add '-20' to each side of the equation. 20 + -20 + -5d = -45 + -20 Combine like terms: 20 + -20 = 0 0 + -5d = -45 + -20 -5d = -45 + -20 Combine like terms: -45 + -20 = -65 -5d = -65 Divide each side by '-5'. d = 13 Simplifying d = 13
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