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Simplifying 5(d + -4) + 2 = 2(d + -2) + -4 Reorder the terms: 5(-4 + d) + 2 = 2(d + -2) + -4 (-4 * 5 + d * 5) + 2 = 2(d + -2) + -4 (-20 + 5d) + 2 = 2(d + -2) + -4 Reorder the terms: -20 + 2 + 5d = 2(d + -2) + -4 Combine like terms: -20 + 2 = -18 -18 + 5d = 2(d + -2) + -4 Reorder the terms: -18 + 5d = 2(-2 + d) + -4 -18 + 5d = (-2 * 2 + d * 2) + -4 -18 + 5d = (-4 + 2d) + -4 Reorder the terms: -18 + 5d = -4 + -4 + 2d Combine like terms: -4 + -4 = -8 -18 + 5d = -8 + 2d Solving -18 + 5d = -8 + 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. -18 + 5d + -2d = -8 + 2d + -2d Combine like terms: 5d + -2d = 3d -18 + 3d = -8 + 2d + -2d Combine like terms: 2d + -2d = 0 -18 + 3d = -8 + 0 -18 + 3d = -8 Add '18' to each side of the equation. -18 + 18 + 3d = -8 + 18 Combine like terms: -18 + 18 = 0 0 + 3d = -8 + 18 3d = -8 + 18 Combine like terms: -8 + 18 = 10 3d = 10 Divide each side by '3'. d = 3.333333333 Simplifying d = 3.333333333
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