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Simplifying 7(9d + -2) = -26 + -6d Reorder the terms: 7(-2 + 9d) = -26 + -6d (-2 * 7 + 9d * 7) = -26 + -6d (-14 + 63d) = -26 + -6d Solving -14 + 63d = -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. -14 + 63d + 6d = -26 + -6d + 6d Combine like terms: 63d + 6d = 69d -14 + 69d = -26 + -6d + 6d Combine like terms: -6d + 6d = 0 -14 + 69d = -26 + 0 -14 + 69d = -26 Add '14' to each side of the equation. -14 + 14 + 69d = -26 + 14 Combine like terms: -14 + 14 = 0 0 + 69d = -26 + 14 69d = -26 + 14 Combine like terms: -26 + 14 = -12 69d = -12 Divide each side by '69'. d = -0.1739130435 Simplifying d = -0.1739130435
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