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Simplifying 7(5 + -2t) = 5 + -11t (5 * 7 + -2t * 7) = 5 + -11t (35 + -14t) = 5 + -11t Solving 35 + -14t = 5 + -11t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '11t' to each side of the equation. 35 + -14t + 11t = 5 + -11t + 11t Combine like terms: -14t + 11t = -3t 35 + -3t = 5 + -11t + 11t Combine like terms: -11t + 11t = 0 35 + -3t = 5 + 0 35 + -3t = 5 Add '-35' to each side of the equation. 35 + -35 + -3t = 5 + -35 Combine like terms: 35 + -35 = 0 0 + -3t = 5 + -35 -3t = 5 + -35 Combine like terms: 5 + -35 = -30 -3t = -30 Divide each side by '-3'. t = 10 Simplifying t = 10
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