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Simplifying (2t + -7) + (-1t + 2) = 0 Reorder the terms: (-7 + 2t) + (-1t + 2) = 0 Remove parenthesis around (-7 + 2t) -7 + 2t + (-1t + 2) = 0 Reorder the terms: -7 + 2t + (2 + -1t) = 0 Remove parenthesis around (2 + -1t) -7 + 2t + 2 + -1t = 0 Reorder the terms: -7 + 2 + 2t + -1t = 0 Combine like terms: -7 + 2 = -5 -5 + 2t + -1t = 0 Combine like terms: 2t + -1t = 1t -5 + 1t = 0 Solving -5 + 1t = 0 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 + 1t = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 1t = 0 + 5 1t = 0 + 5 Combine like terms: 0 + 5 = 5 1t = 5 Divide each side by '1'. t = 5 Simplifying t = 5
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