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Simplifying 7(d + 2) = 11d + -6 Reorder the terms: 7(2 + d) = 11d + -6 (2 * 7 + d * 7) = 11d + -6 (14 + 7d) = 11d + -6 Reorder the terms: 14 + 7d = -6 + 11d Solving 14 + 7d = -6 + 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. 14 + 7d + -11d = -6 + 11d + -11d Combine like terms: 7d + -11d = -4d 14 + -4d = -6 + 11d + -11d Combine like terms: 11d + -11d = 0 14 + -4d = -6 + 0 14 + -4d = -6 Add '-14' to each side of the equation. 14 + -14 + -4d = -6 + -14 Combine like terms: 14 + -14 = 0 0 + -4d = -6 + -14 -4d = -6 + -14 Combine like terms: -6 + -14 = -20 -4d = -20 Divide each side by '-4'. d = 5 Simplifying d = 5
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