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Simplifying 11t = 5(5t + -14) + -14 Reorder the terms: 11t = 5(-14 + 5t) + -14 11t = (-14 * 5 + 5t * 5) + -14 11t = (-70 + 25t) + -14 Reorder the terms: 11t = -70 + -14 + 25t Combine like terms: -70 + -14 = -84 11t = -84 + 25t Solving 11t = -84 + 25t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-25t' to each side of the equation. 11t + -25t = -84 + 25t + -25t Combine like terms: 11t + -25t = -14t -14t = -84 + 25t + -25t Combine like terms: 25t + -25t = 0 -14t = -84 + 0 -14t = -84 Divide each side by '-14'. t = 6 Simplifying t = 6
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