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Simplifying 5d + -1(d + 3) = d + 2 + 7 Reorder the terms: 5d + -1(3 + d) = d + 2 + 7 5d + (3 * -1 + d * -1) = d + 2 + 7 5d + (-3 + -1d) = d + 2 + 7 Reorder the terms: -3 + 5d + -1d = d + 2 + 7 Combine like terms: 5d + -1d = 4d -3 + 4d = d + 2 + 7 Reorder the terms: -3 + 4d = 2 + 7 + d Combine like terms: 2 + 7 = 9 -3 + 4d = 9 + d Solving -3 + 4d = 9 + 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. -3 + 4d + -1d = 9 + d + -1d Combine like terms: 4d + -1d = 3d -3 + 3d = 9 + d + -1d Combine like terms: d + -1d = 0 -3 + 3d = 9 + 0 -3 + 3d = 9 Add '3' to each side of the equation. -3 + 3 + 3d = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 3d = 9 + 3 3d = 9 + 3 Combine like terms: 9 + 3 = 12 3d = 12 Divide each side by '3'. d = 4 Simplifying d = 4
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