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Simplifying 2(d + -2) + 3(d + 3) = 45 Reorder the terms: 2(-2 + d) + 3(d + 3) = 45 (-2 * 2 + d * 2) + 3(d + 3) = 45 (-4 + 2d) + 3(d + 3) = 45 Reorder the terms: -4 + 2d + 3(3 + d) = 45 -4 + 2d + (3 * 3 + d * 3) = 45 -4 + 2d + (9 + 3d) = 45 Reorder the terms: -4 + 9 + 2d + 3d = 45 Combine like terms: -4 + 9 = 5 5 + 2d + 3d = 45 Combine like terms: 2d + 3d = 5d 5 + 5d = 45 Solving 5 + 5d = 45 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 = 45 + -5 Combine like terms: 5 + -5 = 0 0 + 5d = 45 + -5 5d = 45 + -5 Combine like terms: 45 + -5 = 40 5d = 40 Divide each side by '5'. d = 8 Simplifying d = 8
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