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Simplifying 5(8 + -2t) = 2 + 16(4 + t) (8 * 5 + -2t * 5) = 2 + 16(4 + t) (40 + -10t) = 2 + 16(4 + t) 40 + -10t = 2 + (4 * 16 + t * 16) 40 + -10t = 2 + (64 + 16t) Combine like terms: 2 + 64 = 66 40 + -10t = 66 + 16t Solving 40 + -10t = 66 + 16t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-16t' to each side of the equation. 40 + -10t + -16t = 66 + 16t + -16t Combine like terms: -10t + -16t = -26t 40 + -26t = 66 + 16t + -16t Combine like terms: 16t + -16t = 0 40 + -26t = 66 + 0 40 + -26t = 66 Add '-40' to each side of the equation. 40 + -40 + -26t = 66 + -40 Combine like terms: 40 + -40 = 0 0 + -26t = 66 + -40 -26t = 66 + -40 Combine like terms: 66 + -40 = 26 -26t = 26 Divide each side by '-26'. t = -1 Simplifying t = -1
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