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Simplifying 4(d + -5) = 2d + -14 + d Reorder the terms: 4(-5 + d) = 2d + -14 + d (-5 * 4 + d * 4) = 2d + -14 + d (-20 + 4d) = 2d + -14 + d Reorder the terms: -20 + 4d = -14 + 2d + d Combine like terms: 2d + d = 3d -20 + 4d = -14 + 3d Solving -20 + 4d = -14 + 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 + 4d + -3d = -14 + 3d + -3d Combine like terms: 4d + -3d = 1d -20 + 1d = -14 + 3d + -3d Combine like terms: 3d + -3d = 0 -20 + 1d = -14 + 0 -20 + 1d = -14 Add '20' to each side of the equation. -20 + 20 + 1d = -14 + 20 Combine like terms: -20 + 20 = 0 0 + 1d = -14 + 20 1d = -14 + 20 Combine like terms: -14 + 20 = 6 1d = 6 Divide each side by '1'. d = 6 Simplifying d = 6
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