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Simplifying (2d + 3) + (3d + -12) = 0 Reorder the terms: (3 + 2d) + (3d + -12) = 0 Remove parenthesis around (3 + 2d) 3 + 2d + (3d + -12) = 0 Reorder the terms: 3 + 2d + (-12 + 3d) = 0 Remove parenthesis around (-12 + 3d) 3 + 2d + -12 + 3d = 0 Reorder the terms: 3 + -12 + 2d + 3d = 0 Combine like terms: 3 + -12 = -9 -9 + 2d + 3d = 0 Combine like terms: 2d + 3d = 5d -9 + 5d = 0 Solving -9 + 5d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 5d = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 5d = 0 + 9 5d = 0 + 9 Combine like terms: 0 + 9 = 9 5d = 9 Divide each side by '5'. d = 1.8 Simplifying d = 1.8
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