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Simplifying 5 + -11t = 7[5 + -2t] 5 + -11t = [5 * 7 + -2t * 7] 5 + -11t = [35 + -14t] Solving 5 + -11t = 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 + -11t + 14t = 35 + -14t + 14t Combine like terms: -11t + 14t = 3t 5 + 3t = 35 + -14t + 14t Combine like terms: -14t + 14t = 0 5 + 3t = 35 + 0 5 + 3t = 35 Add '-5' to each side of the equation. 5 + -5 + 3t = 35 + -5 Combine like terms: 5 + -5 = 0 0 + 3t = 35 + -5 3t = 35 + -5 Combine like terms: 35 + -5 = 30 3t = 30 Divide each side by '3'. t = 10 Simplifying t = 10
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