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Simplifying 5d + 2(d + 6) = -3(d + -4) Reorder the terms: 5d + 2(6 + d) = -3(d + -4) 5d + (6 * 2 + d * 2) = -3(d + -4) 5d + (12 + 2d) = -3(d + -4) Reorder the terms: 12 + 5d + 2d = -3(d + -4) Combine like terms: 5d + 2d = 7d 12 + 7d = -3(d + -4) Reorder the terms: 12 + 7d = -3(-4 + d) 12 + 7d = (-4 * -3 + d * -3) 12 + 7d = (12 + -3d) Add '-12' to each side of the equation. 12 + -12 + 7d = 12 + -12 + -3d Combine like terms: 12 + -12 = 0 0 + 7d = 12 + -12 + -3d 7d = 12 + -12 + -3d Combine like terms: 12 + -12 = 0 7d = 0 + -3d 7d = -3d Solving 7d = -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. 7d + 3d = -3d + 3d Combine like terms: 7d + 3d = 10d 10d = -3d + 3d Combine like terms: -3d + 3d = 0 10d = 0 Divide each side by '10'. d = 0.0 Simplifying d = 0.0
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