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Simplifying 5 + -11 + t = 7(5 + -2t) Combine like terms: 5 + -11 = -6 -6 + t = 7(5 + -2t) -6 + t = (5 * 7 + -2t * 7) -6 + t = (35 + -14t) Solving -6 + t = 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. -6 + t + 14t = 35 + -14t + 14t Combine like terms: t + 14t = 15t -6 + 15t = 35 + -14t + 14t Combine like terms: -14t + 14t = 0 -6 + 15t = 35 + 0 -6 + 15t = 35 Add '6' to each side of the equation. -6 + 6 + 15t = 35 + 6 Combine like terms: -6 + 6 = 0 0 + 15t = 35 + 6 15t = 35 + 6 Combine like terms: 35 + 6 = 41 15t = 41 Divide each side by '15'. t = 2.733333333 Simplifying t = 2.733333333
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