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Simplifying 97 = 6(t + -5) + 8t Reorder the terms: 97 = 6(-5 + t) + 8t 97 = (-5 * 6 + t * 6) + 8t 97 = (-30 + 6t) + 8t Combine like terms: 6t + 8t = 14t 97 = -30 + 14t Solving 97 = -30 + 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. 97 + -14t = -30 + 14t + -14t Combine like terms: 14t + -14t = 0 97 + -14t = -30 + 0 97 + -14t = -30 Add '-97' to each side of the equation. 97 + -97 + -14t = -30 + -97 Combine like terms: 97 + -97 = 0 0 + -14t = -30 + -97 -14t = -30 + -97 Combine like terms: -30 + -97 = -127 -14t = -127 Divide each side by '-14'. t = 9.071428571 Simplifying t = 9.071428571
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