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