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Simplifying -7 + 10d = 8 + 4d + 3 Reorder the terms: -7 + 10d = 8 + 3 + 4d Combine like terms: 8 + 3 = 11 -7 + 10d = 11 + 4d Solving -7 + 10d = 11 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. -7 + 10d + -4d = 11 + 4d + -4d Combine like terms: 10d + -4d = 6d -7 + 6d = 11 + 4d + -4d Combine like terms: 4d + -4d = 0 -7 + 6d = 11 + 0 -7 + 6d = 11 Add '7' to each side of the equation. -7 + 7 + 6d = 11 + 7 Combine like terms: -7 + 7 = 0 0 + 6d = 11 + 7 6d = 11 + 7 Combine like terms: 11 + 7 = 18 6d = 18 Divide each side by '6'. d = 3 Simplifying d = 3
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