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Simplifying 8(d + 3) = 10d Reorder the terms: 8(3 + d) = 10d (3 * 8 + d * 8) = 10d (24 + 8d) = 10d Solving 24 + 8d = 10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-10d' to each side of the equation. 24 + 8d + -10d = 10d + -10d Combine like terms: 8d + -10d = -2d 24 + -2d = 10d + -10d Combine like terms: 10d + -10d = 0 24 + -2d = 0 Add '-24' to each side of the equation. 24 + -24 + -2d = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -2d = 0 + -24 -2d = 0 + -24 Combine like terms: 0 + -24 = -24 -2d = -24 Divide each side by '-2'. d = 12 Simplifying d = 12
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