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Simplifying 4d + 7 = -1(2d + 41) Reorder the terms: 7 + 4d = -1(2d + 41) Reorder the terms: 7 + 4d = -1(41 + 2d) 7 + 4d = (41 * -1 + 2d * -1) 7 + 4d = (-41 + -2d) Solving 7 + 4d = -41 + -2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '2d' to each side of the equation. 7 + 4d + 2d = -41 + -2d + 2d Combine like terms: 4d + 2d = 6d 7 + 6d = -41 + -2d + 2d Combine like terms: -2d + 2d = 0 7 + 6d = -41 + 0 7 + 6d = -41 Add '-7' to each side of the equation. 7 + -7 + 6d = -41 + -7 Combine like terms: 7 + -7 = 0 0 + 6d = -41 + -7 6d = -41 + -7 Combine like terms: -41 + -7 = -48 6d = -48 Divide each side by '6'. d = -8 Simplifying d = -8
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