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Simplifying 6d + -1(2d + -11) = 47 Reorder the terms: 6d + -1(-11 + 2d) = 47 6d + (-11 * -1 + 2d * -1) = 47 6d + (11 + -2d) = 47 Reorder the terms: 11 + 6d + -2d = 47 Combine like terms: 6d + -2d = 4d 11 + 4d = 47 Solving 11 + 4d = 47 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 4d = 47 + -11 Combine like terms: 11 + -11 = 0 0 + 4d = 47 + -11 4d = 47 + -11 Combine like terms: 47 + -11 = 36 4d = 36 Divide each side by '4'. d = 9 Simplifying d = 9
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