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Simplifying 2(3d + -2) + 3 = 2d + -5 Reorder the terms: 2(-2 + 3d) + 3 = 2d + -5 (-2 * 2 + 3d * 2) + 3 = 2d + -5 (-4 + 6d) + 3 = 2d + -5 Reorder the terms: -4 + 3 + 6d = 2d + -5 Combine like terms: -4 + 3 = -1 -1 + 6d = 2d + -5 Reorder the terms: -1 + 6d = -5 + 2d Solving -1 + 6d = -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. -1 + 6d + -2d = -5 + 2d + -2d Combine like terms: 6d + -2d = 4d -1 + 4d = -5 + 2d + -2d Combine like terms: 2d + -2d = 0 -1 + 4d = -5 + 0 -1 + 4d = -5 Add '1' to each side of the equation. -1 + 1 + 4d = -5 + 1 Combine like terms: -1 + 1 = 0 0 + 4d = -5 + 1 4d = -5 + 1 Combine like terms: -5 + 1 = -4 4d = -4 Divide each side by '4'. d = -1 Simplifying d = -1
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