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Simplifying (16 + -4d) + 2 = (3 + 3d) Remove parenthesis around (16 + -4d) 16 + -4d + 2 = (3 + 3d) Reorder the terms: 16 + 2 + -4d = (3 + 3d) Combine like terms: 16 + 2 = 18 18 + -4d = (3 + 3d) Remove parenthesis around (3 + 3d) 18 + -4d = 3 + 3d Solving 18 + -4d = 3 + 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. 18 + -4d + -3d = 3 + 3d + -3d Combine like terms: -4d + -3d = -7d 18 + -7d = 3 + 3d + -3d Combine like terms: 3d + -3d = 0 18 + -7d = 3 + 0 18 + -7d = 3 Add '-18' to each side of the equation. 18 + -18 + -7d = 3 + -18 Combine like terms: 18 + -18 = 0 0 + -7d = 3 + -18 -7d = 3 + -18 Combine like terms: 3 + -18 = -15 -7d = -15 Divide each side by '-7'. d = 2.142857143 Simplifying d = 2.142857143
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