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Simplifying 7(5 + -2t) = 11t + -5 (5 * 7 + -2t * 7) = 11t + -5 (35 + -14t) = 11t + -5 Reorder the terms: 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 = -25t 35 + -25t = -5 + 11t + -11t Combine like terms: 11t + -11t = 0 35 + -25t = -5 + 0 35 + -25t = -5 Add '-35' to each side of the equation. 35 + -35 + -25t = -5 + -35 Combine like terms: 35 + -35 = 0 0 + -25t = -5 + -35 -25t = -5 + -35 Combine like terms: -5 + -35 = -40 -25t = -40 Divide each side by '-25'. t = 1.6 Simplifying t = 1.6
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