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Simplifying 7 + 2(1 + -4d) = -31 7 + (1 * 2 + -4d * 2) = -31 7 + (2 + -8d) = -31 Combine like terms: 7 + 2 = 9 9 + -8d = -31 Solving 9 + -8d = -31 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 + -8d = -31 + -9 Combine like terms: 9 + -9 = 0 0 + -8d = -31 + -9 -8d = -31 + -9 Combine like terms: -31 + -9 = -40 -8d = -40 Divide each side by '-8'. d = 5 Simplifying d = 5
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