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Simplifying 5(1d + -4) + 2 = 2(1d + 2) + -4 Reorder the terms: 5(-4 + 1d) + 2 = 2(1d + 2) + -4 (-4 * 5 + 1d * 5) + 2 = 2(1d + 2) + -4 (-20 + 5d) + 2 = 2(1d + 2) + -4 Reorder the terms: -20 + 2 + 5d = 2(1d + 2) + -4 Combine like terms: -20 + 2 = -18 -18 + 5d = 2(1d + 2) + -4 Reorder the terms: -18 + 5d = 2(2 + 1d) + -4 -18 + 5d = (2 * 2 + 1d * 2) + -4 -18 + 5d = (4 + 2d) + -4 Reorder the terms: -18 + 5d = 4 + -4 + 2d Combine like terms: 4 + -4 = 0 -18 + 5d = 0 + 2d -18 + 5d = 2d Solving -18 + 5d = 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 = 2d + -2d Combine like terms: 5d + -2d = 3d -18 + 3d = 2d + -2d Combine like terms: 2d + -2d = 0 -18 + 3d = 0 Add '18' to each side of the equation. -18 + 18 + 3d = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 3d = 0 + 18 3d = 0 + 18 Combine like terms: 0 + 18 = 18 3d = 18 Divide each side by '3'. d = 6 Simplifying d = 6
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