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Simplifying 2(d + -7) = 3(7 + -1d) Reorder the terms: 2(-7 + d) = 3(7 + -1d) (-7 * 2 + d * 2) = 3(7 + -1d) (-14 + 2d) = 3(7 + -1d) -14 + 2d = (7 * 3 + -1d * 3) -14 + 2d = (21 + -3d) Solving -14 + 2d = 21 + -3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '3d' to each side of the equation. -14 + 2d + 3d = 21 + -3d + 3d Combine like terms: 2d + 3d = 5d -14 + 5d = 21 + -3d + 3d Combine like terms: -3d + 3d = 0 -14 + 5d = 21 + 0 -14 + 5d = 21 Add '14' to each side of the equation. -14 + 14 + 5d = 21 + 14 Combine like terms: -14 + 14 = 0 0 + 5d = 21 + 14 5d = 21 + 14 Combine like terms: 21 + 14 = 35 5d = 35 Divide each side by '5'. d = 7 Simplifying d = 7
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