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Simplifying 5(d + -4) + 2 = (2d + -5) + -4 Reorder the terms: 5(-4 + d) + 2 = (2d + -5) + -4 (-4 * 5 + d * 5) + 2 = (2d + -5) + -4 (-20 + 5d) + 2 = (2d + -5) + -4 Reorder the terms: -20 + 2 + 5d = (2d + -5) + -4 Combine like terms: -20 + 2 = -18 -18 + 5d = (2d + -5) + -4 Reorder the terms: -18 + 5d = (-5 + 2d) + -4 Remove parenthesis around (-5 + 2d) -18 + 5d = -5 + 2d + -4 Reorder the terms: -18 + 5d = -5 + -4 + 2d Combine like terms: -5 + -4 = -9 -18 + 5d = -9 + 2d Solving -18 + 5d = -9 + 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 = -9 + 2d + -2d Combine like terms: 5d + -2d = 3d -18 + 3d = -9 + 2d + -2d Combine like terms: 2d + -2d = 0 -18 + 3d = -9 + 0 -18 + 3d = -9 Add '18' to each side of the equation. -18 + 18 + 3d = -9 + 18 Combine like terms: -18 + 18 = 0 0 + 3d = -9 + 18 3d = -9 + 18 Combine like terms: -9 + 18 = 9 3d = 9 Divide each side by '3'. d = 3 Simplifying d = 3
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