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Simplifying 7 + -4(d + -3) = 31 Reorder the terms: 7 + -4(-3 + d) = 31 7 + (-3 * -4 + d * -4) = 31 7 + (12 + -4d) = 31 Combine like terms: 7 + 12 = 19 19 + -4d = 31 Solving 19 + -4d = 31 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -4d = 31 + -19 Combine like terms: 19 + -19 = 0 0 + -4d = 31 + -19 -4d = 31 + -19 Combine like terms: 31 + -19 = 12 -4d = 12 Divide each side by '-4'. d = -3 Simplifying d = -3
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