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Simplifying 3(4 + -2d) = 5d + -109 (4 * 3 + -2d * 3) = 5d + -109 (12 + -6d) = 5d + -109 Reorder the terms: 12 + -6d = -109 + 5d Solving 12 + -6d = -109 + 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. 12 + -6d + -5d = -109 + 5d + -5d Combine like terms: -6d + -5d = -11d 12 + -11d = -109 + 5d + -5d Combine like terms: 5d + -5d = 0 12 + -11d = -109 + 0 12 + -11d = -109 Add '-12' to each side of the equation. 12 + -12 + -11d = -109 + -12 Combine like terms: 12 + -12 = 0 0 + -11d = -109 + -12 -11d = -109 + -12 Combine like terms: -109 + -12 = -121 -11d = -121 Divide each side by '-11'. d = 11 Simplifying d = 11
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