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Simplifying 7 + -4(d + -3) + 1 = 31 Reorder the terms: 7 + -4(-3 + d) + 1 = 31 7 + (-3 * -4 + d * -4) + 1 = 31 7 + (12 + -4d) + 1 = 31 Reorder the terms: 7 + 12 + 1 + -4d = 31 Combine like terms: 7 + 12 = 19 19 + 1 + -4d = 31 Combine like terms: 19 + 1 = 20 20 + -4d = 31 Solving 20 + -4d = 31 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -4d = 31 + -20 Combine like terms: 20 + -20 = 0 0 + -4d = 31 + -20 -4d = 31 + -20 Combine like terms: 31 + -20 = 11 -4d = 11 Divide each side by '-4'. d = -2.75 Simplifying d = -2.75
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