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Simplifying 6(4t + 2) = 3(11t + 11) Reorder the terms: 6(2 + 4t) = 3(11t + 11) (2 * 6 + 4t * 6) = 3(11t + 11) (12 + 24t) = 3(11t + 11) Reorder the terms: 12 + 24t = 3(11 + 11t) 12 + 24t = (11 * 3 + 11t * 3) 12 + 24t = (33 + 33t) Solving 12 + 24t = 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. 12 + 24t + -33t = 33 + 33t + -33t Combine like terms: 24t + -33t = -9t 12 + -9t = 33 + 33t + -33t Combine like terms: 33t + -33t = 0 12 + -9t = 33 + 0 12 + -9t = 33 Add '-12' to each side of the equation. 12 + -12 + -9t = 33 + -12 Combine like terms: 12 + -12 = 0 0 + -9t = 33 + -12 -9t = 33 + -12 Combine like terms: 33 + -12 = 21 -9t = 21 Divide each side by '-9'. t = -2.333333333 Simplifying t = -2.333333333
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