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Simplifying 5(11d + 10) = 5(9d + -1) Reorder the terms: 5(10 + 11d) = 5(9d + -1) (10 * 5 + 11d * 5) = 5(9d + -1) (50 + 55d) = 5(9d + -1) Reorder the terms: 50 + 55d = 5(-1 + 9d) 50 + 55d = (-1 * 5 + 9d * 5) 50 + 55d = (-5 + 45d) Solving 50 + 55d = -5 + 45d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-45d' to each side of the equation. 50 + 55d + -45d = -5 + 45d + -45d Combine like terms: 55d + -45d = 10d 50 + 10d = -5 + 45d + -45d Combine like terms: 45d + -45d = 0 50 + 10d = -5 + 0 50 + 10d = -5 Add '-50' to each side of the equation. 50 + -50 + 10d = -5 + -50 Combine like terms: 50 + -50 = 0 0 + 10d = -5 + -50 10d = -5 + -50 Combine like terms: -5 + -50 = -55 10d = -55 Divide each side by '10'. d = -5.5 Simplifying d = -5.5
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