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Simplifying 3(d + -2) + 5 = 7 Reorder the terms: 3(-2 + d) + 5 = 7 (-2 * 3 + d * 3) + 5 = 7 (-6 + 3d) + 5 = 7 Reorder the terms: -6 + 5 + 3d = 7 Combine like terms: -6 + 5 = -1 -1 + 3d = 7 Solving -1 + 3d = 7 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 3d = 7 + 1 Combine like terms: -1 + 1 = 0 0 + 3d = 7 + 1 3d = 7 + 1 Combine like terms: 7 + 1 = 8 3d = 8 Divide each side by '3'. d = 2.666666667 Simplifying d = 2.666666667
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