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Simplifying 4(4t + 2) = 2(11t + 11) Reorder the terms: 4(2 + 4t) = 2(11t + 11) (2 * 4 + 4t * 4) = 2(11t + 11) (8 + 16t) = 2(11t + 11) Reorder the terms: 8 + 16t = 2(11 + 11t) 8 + 16t = (11 * 2 + 11t * 2) 8 + 16t = (22 + 22t) Solving 8 + 16t = 22 + 22t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-22t' to each side of the equation. 8 + 16t + -22t = 22 + 22t + -22t Combine like terms: 16t + -22t = -6t 8 + -6t = 22 + 22t + -22t Combine like terms: 22t + -22t = 0 8 + -6t = 22 + 0 8 + -6t = 22 Add '-8' to each side of the equation. 8 + -8 + -6t = 22 + -8 Combine like terms: 8 + -8 = 0 0 + -6t = 22 + -8 -6t = 22 + -8 Combine like terms: 22 + -8 = 14 -6t = 14 Divide each side by '-6'. t = -2.333333333 Simplifying t = -2.333333333
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