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Simplifying -1(2t + 1) = 7(5 + -2t) Reorder the terms: -1(1 + 2t) = 7(5 + -2t) (1 * -1 + 2t * -1) = 7(5 + -2t) (-1 + -2t) = 7(5 + -2t) -1 + -2t = (5 * 7 + -2t * 7) -1 + -2t = (35 + -14t) Solving -1 + -2t = 35 + -14t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '14t' to each side of the equation. -1 + -2t + 14t = 35 + -14t + 14t Combine like terms: -2t + 14t = 12t -1 + 12t = 35 + -14t + 14t Combine like terms: -14t + 14t = 0 -1 + 12t = 35 + 0 -1 + 12t = 35 Add '1' to each side of the equation. -1 + 1 + 12t = 35 + 1 Combine like terms: -1 + 1 = 0 0 + 12t = 35 + 1 12t = 35 + 1 Combine like terms: 35 + 1 = 36 12t = 36 Divide each side by '12'. t = 3 Simplifying t = 3
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