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Simplifying 15d + -1 + -11 = 7d + -20 Reorder the terms: -1 + -11 + 15d = 7d + -20 Combine like terms: -1 + -11 = -12 -12 + 15d = 7d + -20 Reorder the terms: -12 + 15d = -20 + 7d Solving -12 + 15d = -20 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. -12 + 15d + -7d = -20 + 7d + -7d Combine like terms: 15d + -7d = 8d -12 + 8d = -20 + 7d + -7d Combine like terms: 7d + -7d = 0 -12 + 8d = -20 + 0 -12 + 8d = -20 Add '12' to each side of the equation. -12 + 12 + 8d = -20 + 12 Combine like terms: -12 + 12 = 0 0 + 8d = -20 + 12 8d = -20 + 12 Combine like terms: -20 + 12 = -8 8d = -8 Divide each side by '8'. d = -1 Simplifying d = -1
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