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Simplifying 6(5d + -3) = 9d + -7 Reorder the terms: 6(-3 + 5d) = 9d + -7 (-3 * 6 + 5d * 6) = 9d + -7 (-18 + 30d) = 9d + -7 Reorder the terms: -18 + 30d = -7 + 9d Solving -18 + 30d = -7 + 9d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-9d' to each side of the equation. -18 + 30d + -9d = -7 + 9d + -9d Combine like terms: 30d + -9d = 21d -18 + 21d = -7 + 9d + -9d Combine like terms: 9d + -9d = 0 -18 + 21d = -7 + 0 -18 + 21d = -7 Add '18' to each side of the equation. -18 + 18 + 21d = -7 + 18 Combine like terms: -18 + 18 = 0 0 + 21d = -7 + 18 21d = -7 + 18 Combine like terms: -7 + 18 = 11 21d = 11 Divide each side by '21'. d = 0.5238095238 Simplifying d = 0.5238095238
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