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Simplifying -15d + 18 = -20 + -19d + -10 Reorder the terms: 18 + -15d = -20 + -19d + -10 Reorder the terms: 18 + -15d = -20 + -10 + -19d Combine like terms: -20 + -10 = -30 18 + -15d = -30 + -19d Solving 18 + -15d = -30 + -19d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '19d' to each side of the equation. 18 + -15d + 19d = -30 + -19d + 19d Combine like terms: -15d + 19d = 4d 18 + 4d = -30 + -19d + 19d Combine like terms: -19d + 19d = 0 18 + 4d = -30 + 0 18 + 4d = -30 Add '-18' to each side of the equation. 18 + -18 + 4d = -30 + -18 Combine like terms: 18 + -18 = 0 0 + 4d = -30 + -18 4d = -30 + -18 Combine like terms: -30 + -18 = -48 4d = -48 Divide each side by '4'. d = -12 Simplifying d = -12
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