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Simplifying (3d + 4) + (2d + -9) = 180 Reorder the terms: (4 + 3d) + (2d + -9) = 180 Remove parenthesis around (4 + 3d) 4 + 3d + (2d + -9) = 180 Reorder the terms: 4 + 3d + (-9 + 2d) = 180 Remove parenthesis around (-9 + 2d) 4 + 3d + -9 + 2d = 180 Reorder the terms: 4 + -9 + 3d + 2d = 180 Combine like terms: 4 + -9 = -5 -5 + 3d + 2d = 180 Combine like terms: 3d + 2d = 5d -5 + 5d = 180 Solving -5 + 5d = 180 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 5d = 180 + 5 Combine like terms: -5 + 5 = 0 0 + 5d = 180 + 5 5d = 180 + 5 Combine like terms: 180 + 5 = 185 5d = 185 Divide each side by '5'. d = 37 Simplifying d = 37
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