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Simplifying 5(d + -7) + 12 = 2(d + 4) Reorder the terms: 5(-7 + d) + 12 = 2(d + 4) (-7 * 5 + d * 5) + 12 = 2(d + 4) (-35 + 5d) + 12 = 2(d + 4) Reorder the terms: -35 + 12 + 5d = 2(d + 4) Combine like terms: -35 + 12 = -23 -23 + 5d = 2(d + 4) Reorder the terms: -23 + 5d = 2(4 + d) -23 + 5d = (4 * 2 + d * 2) -23 + 5d = (8 + 2d) Solving -23 + 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. -23 + 5d + -2d = 8 + 2d + -2d Combine like terms: 5d + -2d = 3d -23 + 3d = 8 + 2d + -2d Combine like terms: 2d + -2d = 0 -23 + 3d = 8 + 0 -23 + 3d = 8 Add '23' to each side of the equation. -23 + 23 + 3d = 8 + 23 Combine like terms: -23 + 23 = 0 0 + 3d = 8 + 23 3d = 8 + 23 Combine like terms: 8 + 23 = 31 3d = 31 Divide each side by '3'. d = 10.33333333 Simplifying d = 10.33333333
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