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Simplifying 3(2d + -1) + 5 = 4(d + 1) Reorder the terms: 3(-1 + 2d) + 5 = 4(d + 1) (-1 * 3 + 2d * 3) + 5 = 4(d + 1) (-3 + 6d) + 5 = 4(d + 1) Reorder the terms: -3 + 5 + 6d = 4(d + 1) Combine like terms: -3 + 5 = 2 2 + 6d = 4(d + 1) Reorder the terms: 2 + 6d = 4(1 + d) 2 + 6d = (1 * 4 + d * 4) 2 + 6d = (4 + 4d) Solving 2 + 6d = 4 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. 2 + 6d + -4d = 4 + 4d + -4d Combine like terms: 6d + -4d = 2d 2 + 2d = 4 + 4d + -4d Combine like terms: 4d + -4d = 0 2 + 2d = 4 + 0 2 + 2d = 4 Add '-2' to each side of the equation. 2 + -2 + 2d = 4 + -2 Combine like terms: 2 + -2 = 0 0 + 2d = 4 + -2 2d = 4 + -2 Combine like terms: 4 + -2 = 2 2d = 2 Divide each side by '2'. d = 1 Simplifying d = 1
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