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Simplifying 42 + -15 = 7d + -2d + 5 + -2 Combine like terms: 42 + -15 = 27 27 = 7d + -2d + 5 + -2 Reorder the terms: 27 = 5 + -2 + 7d + -2d Combine like terms: 5 + -2 = 3 27 = 3 + 7d + -2d Combine like terms: 7d + -2d = 5d 27 = 3 + 5d Solving 27 = 3 + 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. 27 + -5d = 3 + 5d + -5d Combine like terms: 5d + -5d = 0 27 + -5d = 3 + 0 27 + -5d = 3 Add '-27' to each side of the equation. 27 + -27 + -5d = 3 + -27 Combine like terms: 27 + -27 = 0 0 + -5d = 3 + -27 -5d = 3 + -27 Combine like terms: 3 + -27 = -24 -5d = -24 Divide each side by '-5'. d = 4.8 Simplifying d = 4.8
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