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Simplifying 13 = 7 + -4(5 + -3d) 13 = 7 + (5 * -4 + -3d * -4) 13 = 7 + (-20 + 12d) Combine like terms: 7 + -20 = -13 13 = -13 + 12d Solving 13 = -13 + 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. 13 + -12d = -13 + 12d + -12d Combine like terms: 12d + -12d = 0 13 + -12d = -13 + 0 13 + -12d = -13 Add '-13' to each side of the equation. 13 + -13 + -12d = -13 + -13 Combine like terms: 13 + -13 = 0 0 + -12d = -13 + -13 -12d = -13 + -13 Combine like terms: -13 + -13 = -26 -12d = -26 Divide each side by '-12'. d = 2.166666667 Simplifying d = 2.166666667
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