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Simplifying 3(d + 2) = 7(d + -2) Reorder the terms: 3(2 + d) = 7(d + -2) (2 * 3 + d * 3) = 7(d + -2) (6 + 3d) = 7(d + -2) Reorder the terms: 6 + 3d = 7(-2 + d) 6 + 3d = (-2 * 7 + d * 7) 6 + 3d = (-14 + 7d) Solving 6 + 3d = -14 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. 6 + 3d + -7d = -14 + 7d + -7d Combine like terms: 3d + -7d = -4d 6 + -4d = -14 + 7d + -7d Combine like terms: 7d + -7d = 0 6 + -4d = -14 + 0 6 + -4d = -14 Add '-6' to each side of the equation. 6 + -6 + -4d = -14 + -6 Combine like terms: 6 + -6 = 0 0 + -4d = -14 + -6 -4d = -14 + -6 Combine like terms: -14 + -6 = -20 -4d = -20 Divide each side by '-4'. d = 5 Simplifying d = 5
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