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Simplifying 4(d + 1) = d + 10 Reorder the terms: 4(1 + d) = d + 10 (1 * 4 + d * 4) = d + 10 (4 + 4d) = d + 10 Reorder the terms: 4 + 4d = 10 + d Solving 4 + 4d = 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. 4 + 4d + -1d = 10 + d + -1d Combine like terms: 4d + -1d = 3d 4 + 3d = 10 + d + -1d Combine like terms: d + -1d = 0 4 + 3d = 10 + 0 4 + 3d = 10 Add '-4' to each side of the equation. 4 + -4 + 3d = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 3d = 10 + -4 3d = 10 + -4 Combine like terms: 10 + -4 = 6 3d = 6 Divide each side by '3'. d = 2 Simplifying d = 2
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