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Simplifying 3(d + 2) = 2d + -5 Reorder the terms: 3(2 + d) = 2d + -5 (2 * 3 + d * 3) = 2d + -5 (6 + 3d) = 2d + -5 Reorder the terms: 6 + 3d = -5 + 2d Solving 6 + 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. 6 + 3d + -2d = -5 + 2d + -2d Combine like terms: 3d + -2d = 1d 6 + 1d = -5 + 2d + -2d Combine like terms: 2d + -2d = 0 6 + 1d = -5 + 0 6 + 1d = -5 Add '-6' to each side of the equation. 6 + -6 + 1d = -5 + -6 Combine like terms: 6 + -6 = 0 0 + 1d = -5 + -6 1d = -5 + -6 Combine like terms: -5 + -6 = -11 1d = -11 Divide each side by '1'. d = -11 Simplifying d = -11
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