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Simplifying 13 = 7 + -4(6 + -3d) 13 = 7 + (6 * -4 + -3d * -4) 13 = 7 + (-24 + 12d) Combine like terms: 7 + -24 = -17 13 = -17 + 12d Solving 13 = -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. 13 + -12d = -17 + 12d + -12d Combine like terms: 12d + -12d = 0 13 + -12d = -17 + 0 13 + -12d = -17 Add '-13' to each side of the equation. 13 + -13 + -12d = -17 + -13 Combine like terms: 13 + -13 = 0 0 + -12d = -17 + -13 -12d = -17 + -13 Combine like terms: -17 + -13 = -30 -12d = -30 Divide each side by '-12'. d = 2.5 Simplifying d = 2.5
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