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Simplifying (d + 5) + (d + -11) + d = 45 Reorder the terms: (5 + d) + (d + -11) + d = 45 Remove parenthesis around (5 + d) 5 + d + (d + -11) + d = 45 Reorder the terms: 5 + d + (-11 + d) + d = 45 Remove parenthesis around (-11 + d) 5 + d + -11 + d + d = 45 Reorder the terms: 5 + -11 + d + d + d = 45 Combine like terms: 5 + -11 = -6 -6 + d + d + d = 45 Combine like terms: d + d = 2d -6 + 2d + d = 45 Combine like terms: 2d + d = 3d -6 + 3d = 45 Solving -6 + 3d = 45 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 3d = 45 + 6 Combine like terms: -6 + 6 = 0 0 + 3d = 45 + 6 3d = 45 + 6 Combine like terms: 45 + 6 = 51 3d = 51 Divide each side by '3'. d = 17 Simplifying d = 17
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