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Simplifying 3(3d + -2) = 8d + -5 Reorder the terms: 3(-2 + 3d) = 8d + -5 (-2 * 3 + 3d * 3) = 8d + -5 (-6 + 9d) = 8d + -5 Reorder the terms: -6 + 9d = -5 + 8d Solving -6 + 9d = -5 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. -6 + 9d + -8d = -5 + 8d + -8d Combine like terms: 9d + -8d = 1d -6 + 1d = -5 + 8d + -8d Combine like terms: 8d + -8d = 0 -6 + 1d = -5 + 0 -6 + 1d = -5 Add '6' to each side of the equation. -6 + 6 + 1d = -5 + 6 Combine like terms: -6 + 6 = 0 0 + 1d = -5 + 6 1d = -5 + 6 Combine like terms: -5 + 6 = 1 1d = 1 Divide each side by '1'. d = 1 Simplifying d = 1
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