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Simplifying (2d) + -1(7) = (8) + -1(3d) Multiply -1 * 7 (2d) + -7 = (8) + -1(3d) Reorder the terms: -7 + (2d) = (8) + -1(3d) -7 + (2d) = 8 + -1(3d) Remove parenthesis around (3d) -7 + (2d) = 8 + -1 * 3d Multiply -1 * 3 -7 + (2d) = 8 + -3d Solving -7 + (2d) = 8 + -3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '3d' to each side of the equation. -7 + (2d) + 3d = 8 + -3d + 3d Combine like terms: (2d) + 3d = 5d -7 + 5d = 8 + -3d + 3d Combine like terms: -3d + 3d = 0 -7 + 5d = 8 + 0 -7 + 5d = 8 Add '7' to each side of the equation. -7 + 7 + 5d = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 5d = 8 + 7 5d = 8 + 7 Combine like terms: 8 + 7 = 15 5d = 15 Divide each side by '5'. d = 3 Simplifying d = 3
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