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Simplifying -1(5 + -1t) + (2t + -5) = 0 (5 * -1 + -1t * -1) + (2t + -5) = 0 (-5 + 1t) + (2t + -5) = 0 Reorder the terms: -5 + 1t + (-5 + 2t) = 0 Remove parenthesis around (-5 + 2t) -5 + 1t + -5 + 2t = 0 Reorder the terms: -5 + -5 + 1t + 2t = 0 Combine like terms: -5 + -5 = -10 -10 + 1t + 2t = 0 Combine like terms: 1t + 2t = 3t -10 + 3t = 0 Solving -10 + 3t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 3t = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 3t = 0 + 10 3t = 0 + 10 Combine like terms: 0 + 10 = 10 3t = 10 Divide each side by '3'. t = 3.333333333 Simplifying t = 3.333333333
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