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Simplifying 6(2t + 3) = 3(11t + 11) Reorder the terms: 6(3 + 2t) = 3(11t + 11) (3 * 6 + 2t * 6) = 3(11t + 11) (18 + 12t) = 3(11t + 11) Reorder the terms: 18 + 12t = 3(11 + 11t) 18 + 12t = (11 * 3 + 11t * 3) 18 + 12t = (33 + 33t) Solving 18 + 12t = 33 + 33t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-33t' to each side of the equation. 18 + 12t + -33t = 33 + 33t + -33t Combine like terms: 12t + -33t = -21t 18 + -21t = 33 + 33t + -33t Combine like terms: 33t + -33t = 0 18 + -21t = 33 + 0 18 + -21t = 33 Add '-18' to each side of the equation. 18 + -18 + -21t = 33 + -18 Combine like terms: 18 + -18 = 0 0 + -21t = 33 + -18 -21t = 33 + -18 Combine like terms: 33 + -18 = 15 -21t = 15 Divide each side by '-21'. t = -0.7142857143 Simplifying t = -0.7142857143
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