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Simplifying 2d + 18 = 12 + -1(d + 7) Reorder the terms: 18 + 2d = 12 + -1(d + 7) Reorder the terms: 18 + 2d = 12 + -1(7 + d) 18 + 2d = 12 + (7 * -1 + d * -1) 18 + 2d = 12 + (-7 + -1d) Combine like terms: 12 + -7 = 5 18 + 2d = 5 + -1d Solving 18 + 2d = 5 + -1d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add 'd' to each side of the equation. 18 + 2d + d = 5 + -1d + d Combine like terms: 2d + d = 3d 18 + 3d = 5 + -1d + d Combine like terms: -1d + d = 0 18 + 3d = 5 + 0 18 + 3d = 5 Add '-18' to each side of the equation. 18 + -18 + 3d = 5 + -18 Combine like terms: 18 + -18 = 0 0 + 3d = 5 + -18 3d = 5 + -18 Combine like terms: 5 + -18 = -13 3d = -13 Divide each side by '3'. d = -4.333333333 Simplifying d = -4.333333333
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