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Simplifying 11 + 3d = 4(d + -5) Reorder the terms: 11 + 3d = 4(-5 + d) 11 + 3d = (-5 * 4 + d * 4) 11 + 3d = (-20 + 4d) Solving 11 + 3d = -20 + 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. 11 + 3d + -4d = -20 + 4d + -4d Combine like terms: 3d + -4d = -1d 11 + -1d = -20 + 4d + -4d Combine like terms: 4d + -4d = 0 11 + -1d = -20 + 0 11 + -1d = -20 Add '-11' to each side of the equation. 11 + -11 + -1d = -20 + -11 Combine like terms: 11 + -11 = 0 0 + -1d = -20 + -11 -1d = -20 + -11 Combine like terms: -20 + -11 = -31 -1d = -31 Divide each side by '-1'. d = 31 Simplifying d = 31
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