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Simplifying 27 + 3d = -5(2d + -4) Reorder the terms: 27 + 3d = -5(-4 + 2d) 27 + 3d = (-4 * -5 + 2d * -5) 27 + 3d = (20 + -10d) Solving 27 + 3d = 20 + -10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '10d' to each side of the equation. 27 + 3d + 10d = 20 + -10d + 10d Combine like terms: 3d + 10d = 13d 27 + 13d = 20 + -10d + 10d Combine like terms: -10d + 10d = 0 27 + 13d = 20 + 0 27 + 13d = 20 Add '-27' to each side of the equation. 27 + -27 + 13d = 20 + -27 Combine like terms: 27 + -27 = 0 0 + 13d = 20 + -27 13d = 20 + -27 Combine like terms: 20 + -27 = -7 13d = -7 Divide each side by '13'. d = -0.5384615385 Simplifying d = -0.5384615385
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