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Simplifying 12 = 7 + -4(6 + -3d) 12 = 7 + (6 * -4 + -3d * -4) 12 = 7 + (-24 + 12d) Combine like terms: 7 + -24 = -17 12 = -17 + 12d Solving 12 = -17 + 12d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-12d' to each side of the equation. 12 + -12d = -17 + 12d + -12d Combine like terms: 12d + -12d = 0 12 + -12d = -17 + 0 12 + -12d = -17 Add '-12' to each side of the equation. 12 + -12 + -12d = -17 + -12 Combine like terms: 12 + -12 = 0 0 + -12d = -17 + -12 -12d = -17 + -12 Combine like terms: -17 + -12 = -29 -12d = -29 Divide each side by '-12'. d = 2.416666667 Simplifying d = 2.416666667
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