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Simplifying 6(3d + -1) + -2d = 2(2d + -5) + -8 Reorder the terms: 6(-1 + 3d) + -2d = 2(2d + -5) + -8 (-1 * 6 + 3d * 6) + -2d = 2(2d + -5) + -8 (-6 + 18d) + -2d = 2(2d + -5) + -8 Combine like terms: 18d + -2d = 16d -6 + 16d = 2(2d + -5) + -8 Reorder the terms: -6 + 16d = 2(-5 + 2d) + -8 -6 + 16d = (-5 * 2 + 2d * 2) + -8 -6 + 16d = (-10 + 4d) + -8 Reorder the terms: -6 + 16d = -10 + -8 + 4d Combine like terms: -10 + -8 = -18 -6 + 16d = -18 + 4d Solving -6 + 16d = -18 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. -6 + 16d + -4d = -18 + 4d + -4d Combine like terms: 16d + -4d = 12d -6 + 12d = -18 + 4d + -4d Combine like terms: 4d + -4d = 0 -6 + 12d = -18 + 0 -6 + 12d = -18 Add '6' to each side of the equation. -6 + 6 + 12d = -18 + 6 Combine like terms: -6 + 6 = 0 0 + 12d = -18 + 6 12d = -18 + 6 Combine like terms: -18 + 6 = -12 12d = -12 Divide each side by '12'. d = -1 Simplifying d = -1
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