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Simplifying 5d + 2 = d + -10 Reorder the terms: 2 + 5d = d + -10 Reorder the terms: 2 + 5d = -10 + d Solving 2 + 5d = -10 + d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. 2 + 5d + -1d = -10 + d + -1d Combine like terms: 5d + -1d = 4d 2 + 4d = -10 + d + -1d Combine like terms: d + -1d = 0 2 + 4d = -10 + 0 2 + 4d = -10 Add '-2' to each side of the equation. 2 + -2 + 4d = -10 + -2 Combine like terms: 2 + -2 = 0 0 + 4d = -10 + -2 4d = -10 + -2 Combine like terms: -10 + -2 = -12 4d = -12 Divide each side by '4'. d = -3 Simplifying d = -3
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