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Simplifying -2(8 + d) + -4 = 3(d + -5) + 6 (8 * -2 + d * -2) + -4 = 3(d + -5) + 6 (-16 + -2d) + -4 = 3(d + -5) + 6 Reorder the terms: -16 + -4 + -2d = 3(d + -5) + 6 Combine like terms: -16 + -4 = -20 -20 + -2d = 3(d + -5) + 6 Reorder the terms: -20 + -2d = 3(-5 + d) + 6 -20 + -2d = (-5 * 3 + d * 3) + 6 -20 + -2d = (-15 + 3d) + 6 Reorder the terms: -20 + -2d = -15 + 6 + 3d Combine like terms: -15 + 6 = -9 -20 + -2d = -9 + 3d Solving -20 + -2d = -9 + 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. -20 + -2d + -3d = -9 + 3d + -3d Combine like terms: -2d + -3d = -5d -20 + -5d = -9 + 3d + -3d Combine like terms: 3d + -3d = 0 -20 + -5d = -9 + 0 -20 + -5d = -9 Add '20' to each side of the equation. -20 + 20 + -5d = -9 + 20 Combine like terms: -20 + 20 = 0 0 + -5d = -9 + 20 -5d = -9 + 20 Combine like terms: -9 + 20 = 11 -5d = 11 Divide each side by '-5'. d = -2.2 Simplifying d = -2.2
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