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Simplifying 7 + -1(4d + -3) = 23 Reorder the terms: 7 + -1(-3 + 4d) = 23 7 + (-3 * -1 + 4d * -1) = 23 7 + (3 + -4d) = 23 Combine like terms: 7 + 3 = 10 10 + -4d = 23 Solving 10 + -4d = 23 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -4d = 23 + -10 Combine like terms: 10 + -10 = 0 0 + -4d = 23 + -10 -4d = 23 + -10 Combine like terms: 23 + -10 = 13 -4d = 13 Divide each side by '-4'. d = -3.25 Simplifying d = -3.25
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