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Simplifying -5(t + -8) + -1(t + 5) = 3 Reorder the terms: -5(-8 + t) + -1(t + 5) = 3 (-8 * -5 + t * -5) + -1(t + 5) = 3 (40 + -5t) + -1(t + 5) = 3 Reorder the terms: 40 + -5t + -1(5 + t) = 3 40 + -5t + (5 * -1 + t * -1) = 3 40 + -5t + (-5 + -1t) = 3 Reorder the terms: 40 + -5 + -5t + -1t = 3 Combine like terms: 40 + -5 = 35 35 + -5t + -1t = 3 Combine like terms: -5t + -1t = -6t 35 + -6t = 3 Solving 35 + -6t = 3 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -6t = 3 + -35 Combine like terms: 35 + -35 = 0 0 + -6t = 3 + -35 -6t = 3 + -35 Combine like terms: 3 + -35 = -32 -6t = -32 Divide each side by '-6'. t = 5.333333333 Simplifying t = 5.333333333
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