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Simplifying -5(t + -2) + -1(t + 5) = 2 Reorder the terms: -5(-2 + t) + -1(t + 5) = 2 (-2 * -5 + t * -5) + -1(t + 5) = 2 (10 + -5t) + -1(t + 5) = 2 Reorder the terms: 10 + -5t + -1(5 + t) = 2 10 + -5t + (5 * -1 + t * -1) = 2 10 + -5t + (-5 + -1t) = 2 Reorder the terms: 10 + -5 + -5t + -1t = 2 Combine like terms: 10 + -5 = 5 5 + -5t + -1t = 2 Combine like terms: -5t + -1t = -6t 5 + -6t = 2 Solving 5 + -6t = 2 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -6t = 2 + -5 Combine like terms: 5 + -5 = 0 0 + -6t = 2 + -5 -6t = 2 + -5 Combine like terms: 2 + -5 = -3 -6t = -3 Divide each side by '-6'. t = 0.5 Simplifying t = 0.5
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