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Simplifying 3(d + -6) = 2d + -27 Reorder the terms: 3(-6 + d) = 2d + -27 (-6 * 3 + d * 3) = 2d + -27 (-18 + 3d) = 2d + -27 Reorder the terms: -18 + 3d = -27 + 2d Solving -18 + 3d = -27 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. -18 + 3d + -2d = -27 + 2d + -2d Combine like terms: 3d + -2d = 1d -18 + 1d = -27 + 2d + -2d Combine like terms: 2d + -2d = 0 -18 + 1d = -27 + 0 -18 + 1d = -27 Add '18' to each side of the equation. -18 + 18 + 1d = -27 + 18 Combine like terms: -18 + 18 = 0 0 + 1d = -27 + 18 1d = -27 + 18 Combine like terms: -27 + 18 = -9 1d = -9 Divide each side by '1'. d = -9 Simplifying d = -9
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