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Simplifying 4(3d + -5) + -8d = 7d + 14 Reorder the terms: 4(-5 + 3d) + -8d = 7d + 14 (-5 * 4 + 3d * 4) + -8d = 7d + 14 (-20 + 12d) + -8d = 7d + 14 Combine like terms: 12d + -8d = 4d -20 + 4d = 7d + 14 Reorder the terms: -20 + 4d = 14 + 7d Solving -20 + 4d = 14 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. -20 + 4d + -7d = 14 + 7d + -7d Combine like terms: 4d + -7d = -3d -20 + -3d = 14 + 7d + -7d Combine like terms: 7d + -7d = 0 -20 + -3d = 14 + 0 -20 + -3d = 14 Add '20' to each side of the equation. -20 + 20 + -3d = 14 + 20 Combine like terms: -20 + 20 = 0 0 + -3d = 14 + 20 -3d = 14 + 20 Combine like terms: 14 + 20 = 34 -3d = 34 Divide each side by '-3'. d = -11.33333333 Simplifying d = -11.33333333
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