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Simplifying 8(3t + 2) = (11t + 11) Reorder the terms: 8(2 + 3t) = (11t + 11) (2 * 8 + 3t * 8) = (11t + 11) (16 + 24t) = (11t + 11) Reorder the terms: 16 + 24t = (11 + 11t) Remove parenthesis around (11 + 11t) 16 + 24t = 11 + 11t Solving 16 + 24t = 11 + 11t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-11t' to each side of the equation. 16 + 24t + -11t = 11 + 11t + -11t Combine like terms: 24t + -11t = 13t 16 + 13t = 11 + 11t + -11t Combine like terms: 11t + -11t = 0 16 + 13t = 11 + 0 16 + 13t = 11 Add '-16' to each side of the equation. 16 + -16 + 13t = 11 + -16 Combine like terms: 16 + -16 = 0 0 + 13t = 11 + -16 13t = 11 + -16 Combine like terms: 11 + -16 = -5 13t = -5 Divide each side by '13'. t = -0.3846153846 Simplifying t = -0.3846153846
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