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Simplifying -3d + 26 = 2(4d + -3) + -23 Reorder the terms: 26 + -3d = 2(4d + -3) + -23 Reorder the terms: 26 + -3d = 2(-3 + 4d) + -23 26 + -3d = (-3 * 2 + 4d * 2) + -23 26 + -3d = (-6 + 8d) + -23 Reorder the terms: 26 + -3d = -6 + -23 + 8d Combine like terms: -6 + -23 = -29 26 + -3d = -29 + 8d Solving 26 + -3d = -29 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. 26 + -3d + -8d = -29 + 8d + -8d Combine like terms: -3d + -8d = -11d 26 + -11d = -29 + 8d + -8d Combine like terms: 8d + -8d = 0 26 + -11d = -29 + 0 26 + -11d = -29 Add '-26' to each side of the equation. 26 + -26 + -11d = -29 + -26 Combine like terms: 26 + -26 = 0 0 + -11d = -29 + -26 -11d = -29 + -26 Combine like terms: -29 + -26 = -55 -11d = -55 Divide each side by '-11'. d = 5 Simplifying d = 5
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