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Simplifying 8(d + 3) + -10d = 5d Reorder the terms: 8(3 + d) + -10d = 5d (3 * 8 + d * 8) + -10d = 5d (24 + 8d) + -10d = 5d Combine like terms: 8d + -10d = -2d 24 + -2d = 5d Solving 24 + -2d = 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. 24 + -2d + -5d = 5d + -5d Combine like terms: -2d + -5d = -7d 24 + -7d = 5d + -5d Combine like terms: 5d + -5d = 0 24 + -7d = 0 Add '-24' to each side of the equation. 24 + -24 + -7d = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -7d = 0 + -24 -7d = 0 + -24 Combine like terms: 0 + -24 = -24 -7d = -24 Divide each side by '-7'. d = 3.428571429 Simplifying d = 3.428571429
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