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