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Simplifying 5 + 3(4 + -3d) + 6d = -7 5 + (4 * 3 + -3d * 3) + 6d = -7 5 + (12 + -9d) + 6d = -7 Combine like terms: 5 + 12 = 17 17 + -9d + 6d = -7 Combine like terms: -9d + 6d = -3d 17 + -3d = -7 Solving 17 + -3d = -7 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -3d = -7 + -17 Combine like terms: 17 + -17 = 0 0 + -3d = -7 + -17 -3d = -7 + -17 Combine like terms: -7 + -17 = -24 -3d = -24 Divide each side by '-3'. d = 8 Simplifying d = 8
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