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Simplifying 3(d + -2) + 9 = 6 + 2d + -1 Reorder the terms: 3(-2 + d) + 9 = 6 + 2d + -1 (-2 * 3 + d * 3) + 9 = 6 + 2d + -1 (-6 + 3d) + 9 = 6 + 2d + -1 Reorder the terms: -6 + 9 + 3d = 6 + 2d + -1 Combine like terms: -6 + 9 = 3 3 + 3d = 6 + 2d + -1 Reorder the terms: 3 + 3d = 6 + -1 + 2d Combine like terms: 6 + -1 = 5 3 + 3d = 5 + 2d Solving 3 + 3d = 5 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. 3 + 3d + -2d = 5 + 2d + -2d Combine like terms: 3d + -2d = 1d 3 + 1d = 5 + 2d + -2d Combine like terms: 2d + -2d = 0 3 + 1d = 5 + 0 3 + 1d = 5 Add '-3' to each side of the equation. 3 + -3 + 1d = 5 + -3 Combine like terms: 3 + -3 = 0 0 + 1d = 5 + -3 1d = 5 + -3 Combine like terms: 5 + -3 = 2 1d = 2 Divide each side by '1'. d = 2 Simplifying d = 2
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