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Simplifying 8(8 + -3t) = 5(2 + t) (8 * 8 + -3t * 8) = 5(2 + t) (64 + -24t) = 5(2 + t) 64 + -24t = (2 * 5 + t * 5) 64 + -24t = (10 + 5t) Solving 64 + -24t = 10 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 64 + -24t + -5t = 10 + 5t + -5t Combine like terms: -24t + -5t = -29t 64 + -29t = 10 + 5t + -5t Combine like terms: 5t + -5t = 0 64 + -29t = 10 + 0 64 + -29t = 10 Add '-64' to each side of the equation. 64 + -64 + -29t = 10 + -64 Combine like terms: 64 + -64 = 0 0 + -29t = 10 + -64 -29t = 10 + -64 Combine like terms: 10 + -64 = -54 -29t = -54 Divide each side by '-29'. t = 1.862068966 Simplifying t = 1.862068966
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