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Simplifying 2 + 7(1 + -6d) = 23 2 + (1 * 7 + -6d * 7) = 23 2 + (7 + -42d) = 23 Combine like terms: 2 + 7 = 9 9 + -42d = 23 Solving 9 + -42d = 23 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -42d = 23 + -9 Combine like terms: 9 + -9 = 0 0 + -42d = 23 + -9 -42d = 23 + -9 Combine like terms: 23 + -9 = 14 -42d = 14 Divide each side by '-42'. d = -0.3333333333 Simplifying d = -0.3333333333
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