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Simplifying 11(7 + -1t) + 5 = -5(t + -4) + -8 (7 * 11 + -1t * 11) + 5 = -5(t + -4) + -8 (77 + -11t) + 5 = -5(t + -4) + -8 Reorder the terms: 77 + 5 + -11t = -5(t + -4) + -8 Combine like terms: 77 + 5 = 82 82 + -11t = -5(t + -4) + -8 Reorder the terms: 82 + -11t = -5(-4 + t) + -8 82 + -11t = (-4 * -5 + t * -5) + -8 82 + -11t = (20 + -5t) + -8 Reorder the terms: 82 + -11t = 20 + -8 + -5t Combine like terms: 20 + -8 = 12 82 + -11t = 12 + -5t Solving 82 + -11t = 12 + -5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5t' to each side of the equation. 82 + -11t + 5t = 12 + -5t + 5t Combine like terms: -11t + 5t = -6t 82 + -6t = 12 + -5t + 5t Combine like terms: -5t + 5t = 0 82 + -6t = 12 + 0 82 + -6t = 12 Add '-82' to each side of the equation. 82 + -82 + -6t = 12 + -82 Combine like terms: 82 + -82 = 0 0 + -6t = 12 + -82 -6t = 12 + -82 Combine like terms: 12 + -82 = -70 -6t = -70 Divide each side by '-6'. t = 11.66666667 Simplifying t = 11.66666667
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