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Simplifying 3(7d + 9) = 26 + -6d Reorder the terms: 3(9 + 7d) = 26 + -6d (9 * 3 + 7d * 3) = 26 + -6d (27 + 21d) = 26 + -6d Solving 27 + 21d = 26 + -6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '6d' to each side of the equation. 27 + 21d + 6d = 26 + -6d + 6d Combine like terms: 21d + 6d = 27d 27 + 27d = 26 + -6d + 6d Combine like terms: -6d + 6d = 0 27 + 27d = 26 + 0 27 + 27d = 26 Add '-27' to each side of the equation. 27 + -27 + 27d = 26 + -27 Combine like terms: 27 + -27 = 0 0 + 27d = 26 + -27 27d = 26 + -27 Combine like terms: 26 + -27 = -1 27d = -1 Divide each side by '27'. d = -0.03703703704 Simplifying d = -0.03703703704
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