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Simplifying 3(4 + -2d) + -6 = (5d + -5) (4 * 3 + -2d * 3) + -6 = (5d + -5) (12 + -6d) + -6 = (5d + -5) Reorder the terms: 12 + -6 + -6d = (5d + -5) Combine like terms: 12 + -6 = 6 6 + -6d = (5d + -5) Reorder the terms: 6 + -6d = (-5 + 5d) Remove parenthesis around (-5 + 5d) 6 + -6d = -5 + 5d Solving 6 + -6d = -5 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 6 + -6d + -5d = -5 + 5d + -5d Combine like terms: -6d + -5d = -11d 6 + -11d = -5 + 5d + -5d Combine like terms: 5d + -5d = 0 6 + -11d = -5 + 0 6 + -11d = -5 Add '-6' to each side of the equation. 6 + -6 + -11d = -5 + -6 Combine like terms: 6 + -6 = 0 0 + -11d = -5 + -6 -11d = -5 + -6 Combine like terms: -5 + -6 = -11 -11d = -11 Divide each side by '-11'. d = 1 Simplifying d = 1
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