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Simplifying 3(2d + 1) = 2d + -5 Reorder the terms: 3(1 + 2d) = 2d + -5 (1 * 3 + 2d * 3) = 2d + -5 (3 + 6d) = 2d + -5 Reorder the terms: 3 + 6d = -5 + 2d Solving 3 + 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. 3 + 6d + -2d = -5 + 2d + -2d Combine like terms: 6d + -2d = 4d 3 + 4d = -5 + 2d + -2d Combine like terms: 2d + -2d = 0 3 + 4d = -5 + 0 3 + 4d = -5 Add '-3' to each side of the equation. 3 + -3 + 4d = -5 + -3 Combine like terms: 3 + -3 = 0 0 + 4d = -5 + -3 4d = -5 + -3 Combine like terms: -5 + -3 = -8 4d = -8 Divide each side by '4'. d = -2 Simplifying d = -2
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