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Simplifying d + -4 + 2 = 3(d + 1) + 11 Reorder the terms: -4 + 2 + d = 3(d + 1) + 11 Combine like terms: -4 + 2 = -2 -2 + d = 3(d + 1) + 11 Reorder the terms: -2 + d = 3(1 + d) + 11 -2 + d = (1 * 3 + d * 3) + 11 -2 + d = (3 + 3d) + 11 Reorder the terms: -2 + d = 3 + 11 + 3d Combine like terms: 3 + 11 = 14 -2 + d = 14 + 3d Solving -2 + d = 14 + 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. -2 + d + -3d = 14 + 3d + -3d Combine like terms: d + -3d = -2d -2 + -2d = 14 + 3d + -3d Combine like terms: 3d + -3d = 0 -2 + -2d = 14 + 0 -2 + -2d = 14 Add '2' to each side of the equation. -2 + 2 + -2d = 14 + 2 Combine like terms: -2 + 2 = 0 0 + -2d = 14 + 2 -2d = 14 + 2 Combine like terms: 14 + 2 = 16 -2d = 16 Divide each side by '-2'. d = -8 Simplifying d = -8
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