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Simplifying 4d + -3(6d + 7) = 4 + -1(9 + -9d) Reorder the terms: 4d + -3(7 + 6d) = 4 + -1(9 + -9d) 4d + (7 * -3 + 6d * -3) = 4 + -1(9 + -9d) 4d + (-21 + -18d) = 4 + -1(9 + -9d) Reorder the terms: -21 + 4d + -18d = 4 + -1(9 + -9d) Combine like terms: 4d + -18d = -14d -21 + -14d = 4 + -1(9 + -9d) -21 + -14d = 4 + (9 * -1 + -9d * -1) -21 + -14d = 4 + (-9 + 9d) Combine like terms: 4 + -9 = -5 -21 + -14d = -5 + 9d Solving -21 + -14d = -5 + 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. -21 + -14d + -9d = -5 + 9d + -9d Combine like terms: -14d + -9d = -23d -21 + -23d = -5 + 9d + -9d Combine like terms: 9d + -9d = 0 -21 + -23d = -5 + 0 -21 + -23d = -5 Add '21' to each side of the equation. -21 + 21 + -23d = -5 + 21 Combine like terms: -21 + 21 = 0 0 + -23d = -5 + 21 -23d = -5 + 21 Combine like terms: -5 + 21 = 16 -23d = 16 Divide each side by '-23'. d = -0.6956521739 Simplifying d = -0.6956521739
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