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Simplifying -5(t + -5) + -1(t + 1) = 2 Reorder the terms: -5(-5 + t) + -1(t + 1) = 2 (-5 * -5 + t * -5) + -1(t + 1) = 2 (25 + -5t) + -1(t + 1) = 2 Reorder the terms: 25 + -5t + -1(1 + t) = 2 25 + -5t + (1 * -1 + t * -1) = 2 25 + -5t + (-1 + -1t) = 2 Reorder the terms: 25 + -1 + -5t + -1t = 2 Combine like terms: 25 + -1 = 24 24 + -5t + -1t = 2 Combine like terms: -5t + -1t = -6t 24 + -6t = 2 Solving 24 + -6t = 2 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -6t = 2 + -24 Combine like terms: 24 + -24 = 0 0 + -6t = 2 + -24 -6t = 2 + -24 Combine like terms: 2 + -24 = -22 -6t = -22 Divide each side by '-6'. t = 3.666666667 Simplifying t = 3.666666667
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