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Simplifying 8(2t + 1) = 7(d + -2) Reorder the terms: 8(1 + 2t) = 7(d + -2) (1 * 8 + 2t * 8) = 7(d + -2) (8 + 16t) = 7(d + -2) Reorder the terms: 8 + 16t = 7(-2 + d) 8 + 16t = (-2 * 7 + d * 7) 8 + 16t = (-14 + 7d) Solving 8 + 16t = -14 + 7d Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 16t = -14 + -8 + 7d Combine like terms: 8 + -8 = 0 0 + 16t = -14 + -8 + 7d 16t = -14 + -8 + 7d Combine like terms: -14 + -8 = -22 16t = -22 + 7d Divide each side by '16'. t = -1.375 + 0.4375d Simplifying t = -1.375 + 0.4375d
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