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Simplifying 3d + -5 + -1(2d + 8) = 0 Reorder the terms: 3d + -5 + -1(8 + 2d) = 0 3d + -5 + (8 * -1 + 2d * -1) = 0 3d + -5 + (-8 + -2d) = 0 Reorder the terms: -5 + -8 + 3d + -2d = 0 Combine like terms: -5 + -8 = -13 -13 + 3d + -2d = 0 Combine like terms: 3d + -2d = 1d -13 + 1d = 0 Solving -13 + 1d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 1d = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 1d = 0 + 13 1d = 0 + 13 Combine like terms: 0 + 13 = 13 1d = 13 Divide each side by '1'. d = 13 Simplifying d = 13
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