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Simplifying 3(d + -8) = 9(9 + 2) + 1 Reorder the terms: 3(-8 + d) = 9(9 + 2) + 1 (-8 * 3 + d * 3) = 9(9 + 2) + 1 (-24 + 3d) = 9(9 + 2) + 1 Combine like terms: 9 + 2 = 11 -24 + 3d = 9(11) + 1 Multiply 9 * 11 -24 + 3d = 99 + 1 Combine like terms: 99 + 1 = 100 -24 + 3d = 100 Solving -24 + 3d = 100 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 3d = 100 + 24 Combine like terms: -24 + 24 = 0 0 + 3d = 100 + 24 3d = 100 + 24 Combine like terms: 100 + 24 = 124 3d = 124 Divide each side by '3'. d = 41.33333333 Simplifying d = 41.33333333
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