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Simplifying 4(d + 4) + 2 = 3(d + 1) Reorder the terms: 4(4 + d) + 2 = 3(d + 1) (4 * 4 + d * 4) + 2 = 3(d + 1) (16 + 4d) + 2 = 3(d + 1) Reorder the terms: 16 + 2 + 4d = 3(d + 1) Combine like terms: 16 + 2 = 18 18 + 4d = 3(d + 1) Reorder the terms: 18 + 4d = 3(1 + d) 18 + 4d = (1 * 3 + d * 3) 18 + 4d = (3 + 3d) Solving 18 + 4d = 3 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. 18 + 4d + -3d = 3 + 3d + -3d Combine like terms: 4d + -3d = 1d 18 + 1d = 3 + 3d + -3d Combine like terms: 3d + -3d = 0 18 + 1d = 3 + 0 18 + 1d = 3 Add '-18' to each side of the equation. 18 + -18 + 1d = 3 + -18 Combine like terms: 18 + -18 = 0 0 + 1d = 3 + -18 1d = 3 + -18 Combine like terms: 3 + -18 = -15 1d = -15 Divide each side by '1'. d = -15 Simplifying d = -15
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