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Simplifying 4(d + 2) + -2d = 3(2 + 9) Reorder the terms: 4(2 + d) + -2d = 3(2 + 9) (2 * 4 + d * 4) + -2d = 3(2 + 9) (8 + 4d) + -2d = 3(2 + 9) Combine like terms: 4d + -2d = 2d 8 + 2d = 3(2 + 9) Combine like terms: 2 + 9 = 11 8 + 2d = 3(11) Multiply 3 * 11 8 + 2d = 33 Solving 8 + 2d = 33 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 2d = 33 + -8 Combine like terms: 8 + -8 = 0 0 + 2d = 33 + -8 2d = 33 + -8 Combine like terms: 33 + -8 = 25 2d = 25 Divide each side by '2'. d = 12.5 Simplifying d = 12.5
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