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Simplifying 5d + 10 + -3d = -2(d + 4) Reorder the terms: 10 + 5d + -3d = -2(d + 4) Combine like terms: 5d + -3d = 2d 10 + 2d = -2(d + 4) Reorder the terms: 10 + 2d = -2(4 + d) 10 + 2d = (4 * -2 + d * -2) 10 + 2d = (-8 + -2d) Solving 10 + 2d = -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. 10 + 2d + 2d = -8 + -2d + 2d Combine like terms: 2d + 2d = 4d 10 + 4d = -8 + -2d + 2d Combine like terms: -2d + 2d = 0 10 + 4d = -8 + 0 10 + 4d = -8 Add '-10' to each side of the equation. 10 + -10 + 4d = -8 + -10 Combine like terms: 10 + -10 = 0 0 + 4d = -8 + -10 4d = -8 + -10 Combine like terms: -8 + -10 = -18 4d = -18 Divide each side by '4'. d = -4.5 Simplifying d = -4.5
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