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Simplifying 6d + -4(5d + 9) = 6 + -1(11 + -11d) Reorder the terms: 6d + -4(9 + 5d) = 6 + -1(11 + -11d) 6d + (9 * -4 + 5d * -4) = 6 + -1(11 + -11d) 6d + (-36 + -20d) = 6 + -1(11 + -11d) Reorder the terms: -36 + 6d + -20d = 6 + -1(11 + -11d) Combine like terms: 6d + -20d = -14d -36 + -14d = 6 + -1(11 + -11d) -36 + -14d = 6 + (11 * -1 + -11d * -1) -36 + -14d = 6 + (-11 + 11d) Combine like terms: 6 + -11 = -5 -36 + -14d = -5 + 11d Solving -36 + -14d = -5 + 11d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-11d' to each side of the equation. -36 + -14d + -11d = -5 + 11d + -11d Combine like terms: -14d + -11d = -25d -36 + -25d = -5 + 11d + -11d Combine like terms: 11d + -11d = 0 -36 + -25d = -5 + 0 -36 + -25d = -5 Add '36' to each side of the equation. -36 + 36 + -25d = -5 + 36 Combine like terms: -36 + 36 = 0 0 + -25d = -5 + 36 -25d = -5 + 36 Combine like terms: -5 + 36 = 31 -25d = 31 Divide each side by '-25'. d = -1.24 Simplifying d = -1.24
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