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Simplifying 5 + -1t = 7(5 + -2t) 5 + -1t = (5 * 7 + -2t * 7) 5 + -1t = (35 + -14t) Solving 5 + -1t = 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. 5 + -1t + 14t = 35 + -14t + 14t Combine like terms: -1t + 14t = 13t 5 + 13t = 35 + -14t + 14t Combine like terms: -14t + 14t = 0 5 + 13t = 35 + 0 5 + 13t = 35 Add '-5' to each side of the equation. 5 + -5 + 13t = 35 + -5 Combine like terms: 5 + -5 = 0 0 + 13t = 35 + -5 13t = 35 + -5 Combine like terms: 35 + -5 = 30 13t = 30 Divide each side by '13'. t = 2.307692308 Simplifying t = 2.307692308
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