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Simplifying 5 + -1(-6 + -3d) = 3(8 + 7d) 5 + (-6 * -1 + -3d * -1) = 3(8 + 7d) 5 + (6 + 3d) = 3(8 + 7d) Combine like terms: 5 + 6 = 11 11 + 3d = 3(8 + 7d) 11 + 3d = (8 * 3 + 7d * 3) 11 + 3d = (24 + 21d) Solving 11 + 3d = 24 + 21d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-21d' to each side of the equation. 11 + 3d + -21d = 24 + 21d + -21d Combine like terms: 3d + -21d = -18d 11 + -18d = 24 + 21d + -21d Combine like terms: 21d + -21d = 0 11 + -18d = 24 + 0 11 + -18d = 24 Add '-11' to each side of the equation. 11 + -11 + -18d = 24 + -11 Combine like terms: 11 + -11 = 0 0 + -18d = 24 + -11 -18d = 24 + -11 Combine like terms: 24 + -11 = 13 -18d = 13 Divide each side by '-18'. d = -0.7222222222 Simplifying d = -0.7222222222
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