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Simplifying 8d + -1(4d + -7) = 11 Reorder the terms: 8d + -1(-7 + 4d) = 11 8d + (-7 * -1 + 4d * -1) = 11 8d + (7 + -4d) = 11 Reorder the terms: 7 + 8d + -4d = 11 Combine like terms: 8d + -4d = 4d 7 + 4d = 11 Solving 7 + 4d = 11 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4d = 11 + -7 Combine like terms: 7 + -7 = 0 0 + 4d = 11 + -7 4d = 11 + -7 Combine like terms: 11 + -7 = 4 4d = 4 Divide each side by '4'. d = 1 Simplifying d = 1
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