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Simplifying -5(d + 2) = -3d + -8 Reorder the terms: -5(2 + d) = -3d + -8 (2 * -5 + d * -5) = -3d + -8 (-10 + -5d) = -3d + -8 Reorder the terms: -10 + -5d = -8 + -3d Solving -10 + -5d = -8 + -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. -10 + -5d + 3d = -8 + -3d + 3d Combine like terms: -5d + 3d = -2d -10 + -2d = -8 + -3d + 3d Combine like terms: -3d + 3d = 0 -10 + -2d = -8 + 0 -10 + -2d = -8 Add '10' to each side of the equation. -10 + 10 + -2d = -8 + 10 Combine like terms: -10 + 10 = 0 0 + -2d = -8 + 10 -2d = -8 + 10 Combine like terms: -8 + 10 = 2 -2d = 2 Divide each side by '-2'. d = -1 Simplifying d = -1
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